%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:38:45 PM UTC 2026
% Result : Theorem 7.96s 1.96s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 59
% Syntax : Number of formulae : 1865 ( 225 unt; 5 def)
% Number of atoms : 15705 ( 915 equ)
% Maximal formula atoms : 16 ( 8 avg)
% Number of connectives : 14432 (6397 ~;7869 |; 117 &)
% ( 3 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-2 aty)
% Number of variables : 2500 ( 0 sgn2494 !; 6 ?;2200 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNat) ).
fof(f3,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNat) ).
fof(f4,axiom,
! [X0] :
( ( X0 != sz00
& aNaturalNumber0(X0) )
=> ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtr) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( szszuzczcdt0(X0) = szszuzczcdt0(X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccEqu) ).
fof(f7,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> iLess0(X0,szszuzczcdt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH) ).
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f12,axiom,
! [X0] :
( aScalar0(X0)
=> aScalar0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNegSc) ).
fof(f13,axiom,
! [X0] :
( aScalar0(X0)
=> ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
fof(f17,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMNeg) ).
fof(f18,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMDNeg) ).
fof(f20,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEASm) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMon) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X3)
& aScalar0(X2)
& aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(X2,X3)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X1)
& aScalar0(X0) )
=> ( ( sdtasdt0(X0,X0) = sdtasdt0(X1,X1)
& sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqrt) ).
fof(f30,axiom,
! [X0] :
( aVector0(X0)
=> aNaturalNumber0(aDimensionOf0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDimNat) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aVector0(X0) )
=> aScalar0(sdtlbdtrb0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mElmSc) ).
fof(f32,axiom,
! [X0] :
( aVector0(X0)
=> ( aDimensionOf0(X0) != sz00
=> ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefInit) ).
fof(f33,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEqInit) ).
fof(f34,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> aScalar0(sdtasasdt0(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScPr) ).
fof(f35,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) = sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sz0z00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
fof(f36,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( ( aDimensionOf0(X1) != sz00
& aDimensionOf0(X0) = aDimensionOf0(X1) )
=> sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPN) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f38,axiom,
( aVector0(xt)
& aVector0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678) ).
fof(f39,axiom,
! [X0,X1] :
( ( aVector0(X1)
& aVector0(X0) )
=> ( aDimensionOf0(X0) = aDimensionOf0(X1)
=> ( iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1652) ).
fof(f40,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1678_01) ).
fof(f41,axiom,
aDimensionOf0(xs) != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1692) ).
fof(f42,axiom,
( xp = sziznziztdt0(xs)
& aVector0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( xq = sziznziztdt0(xt)
& aVector0(xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( xA = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( xB = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( xC = sdtasasdt0(xp,xp)
& aScalar0(xC) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( xD = sdtasasdt0(xq,xq)
& aScalar0(xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( xE = sdtasasdt0(xp,xq)
& aScalar0(xE) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f49,axiom,
( xF = sdtasdt0(xA,xA)
& aScalar0(xF) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( xG = sdtasdt0(xB,xB)
& aScalar0(xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f51,axiom,
( xH = sdtasdt0(xA,xB)
& aScalar0(xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f52,axiom,
( xR = sdtasdt0(xC,xG)
& aScalar0(xR) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( xP = sdtasdt0(xE,xH)
& aScalar0(xP) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( xS = sdtasdt0(xF,xD)
& aScalar0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f55,axiom,
( xN = sdtasdt0(xR,xS)
& aScalar0(xN) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
fof(f56,axiom,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1967) ).
fof(f57,axiom,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1983) ).
fof(f58,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2733) ).
fof(f59,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(negated_conjecture,[status(cth)],[f59]) ).
fof(f66,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(flattening,[],[f60]) ).
fof(f67,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00
& aNaturalNumber0(szszuzczcdt0(X0)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f68,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f69,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ? [X1] :
( X0 = szszuzczcdt0(X1)
& aNaturalNumber0(X1) ) ),
inference(flattening,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f5]) ).
fof(f71,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f73,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f76,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f78,plain,
! [X0] :
( ~ aScalar0(X0)
| ( smndt0(sz0z00) = sz0z00
& smndt0(smndt0(X0)) = X0
& sdtpldt0(smndt0(X0),X0) = sz0z00
& sdtpldt0(X0,smndt0(X0)) = sz0z00
& sdtasdt0(sz0z00,X0) = sz0z00
& sdtasdt0(X0,sz0z00) = sz0z00
& sdtpldt0(sz0z00,X0) = X0
& sdtpldt0(X0,sz0z00) = X0 ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f86,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1))
& sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f91,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f99,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f101,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(ennf_transformation,[],[f28]) ).
fof(f104,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(ennf_transformation,[],[f30]) ).
fof(f106,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f107,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f109,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( X1 = sziznziztdt0(X0)
<=> ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(ennf_transformation,[],[f33]) ).
fof(f111,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(flattening,[],[f112]) ).
fof(f114,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(ennf_transformation,[],[f35]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sz0z00 ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(ennf_transformation,[],[f36]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f119,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(ennf_transformation,[],[f39]) ).
fof(f120,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(sK0(X0)) = X0
& aNaturalNumber0(sK0(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f69]) ).
fof(f122,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f123,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(X0,X2) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtlbdtrb0(X1,X2) != sdtlbdtrb0(X0,X2) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(rectify,[],[f123]) ).
fof(f125,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ! [X1] :
( ( sziznziztdt0(X0) != X1
| ( ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) )
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(X0)
& aVector0(X1) ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1)) )
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| X1 = sziznziztdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f124]) ).
fof(f126,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != szszuzczcdt0(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f128,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| aNaturalNumber0(szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f129,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(sK0(X0)) = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f130,plain,
! [X0] :
( sz00 = X0
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sK0(X0)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| szszuzczcdt0(X0) != szszuzczcdt0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f71]) ).
fof(f132,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| iLess0(X0,szszuzczcdt0(X0)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f133,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f135,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| aScalar0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f136,plain,
! [X0] :
( ~ aScalar0(X0)
| aScalar0(smndt0(X0)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f137,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = smndt0(sz0z00) ),
inference(cnf_transformation,[],[f78]) ).
fof(f138,plain,
! [X0] :
( ~ aScalar0(X0)
| smndt0(smndt0(X0)) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f139,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f141,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f142,plain,
! [X0] :
( ~ aScalar0(X0)
| sz0z00 = sdtasdt0(X0,sz0z00) ),
inference(cnf_transformation,[],[f78]) ).
fof(f143,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(sz0z00,X0) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f144,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtpldt0(X0,sz0z00) = X0 ),
inference(cnf_transformation,[],[f78]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) = sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) ),
inference(cnf_transformation,[],[f84]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| smndt0(sdtasdt0(X0,X1)) = sdtasdt0(smndt0(X0),X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f154,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(smndt0(X0),smndt0(X1)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f155,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f160,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f162,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| sdtlseqdt0(sz0z00,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f163,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f102]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
! [X0] :
( ~ aVector0(X0)
| aNaturalNumber0(aDimensionOf0(X0)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f166,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aVector0(X0)
| aScalar0(sdtlbdtrb0(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f167,plain,
! [X3,X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X1,X3) = sdtlbdtrb0(X0,X3) ),
inference(cnf_transformation,[],[f125]) ).
fof(f168,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f169,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sziznziztdt0(X0) != X1
| aVector0(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f170,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aNaturalNumber0(sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f171,plain,
! [X0,X1] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| sdtlbdtrb0(X1,sK1(X0,X1)) != sdtlbdtrb0(X0,sK1(X0,X1))
| aDimensionOf0(X0) != szszuzczcdt0(aDimensionOf0(X1))
| ~ aVector0(X1)
| sziznziztdt0(X0) = X1 ),
inference(cnf_transformation,[],[f125]) ).
fof(f172,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f173,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| aScalar0(sdtasasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f174,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 != aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sz0z00 = sdtasasdt0(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f175,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| sz00 = aDimensionOf0(X1)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| sdtasasdt0(X0,X1) = sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) ),
inference(cnf_transformation,[],[f117]) ).
fof(f176,plain,
! [X0] :
( ~ aVector0(X0)
| sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f177,plain,
aVector0(xt),
inference(cnf_transformation,[],[f38]) ).
fof(f178,plain,
aVector0(xs),
inference(cnf_transformation,[],[f38]) ).
fof(f179,plain,
! [X0,X1] :
( ~ aVector0(X1)
| ~ aVector0(X0)
| aDimensionOf0(X0) != aDimensionOf0(X1)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1))) ),
inference(cnf_transformation,[],[f120]) ).
fof(f180,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f40]) ).
fof(f181,plain,
sz00 != aDimensionOf0(xs),
inference(cnf_transformation,[],[f41]) ).
fof(f182,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f42]) ).
fof(f183,plain,
aVector0(xp),
inference(cnf_transformation,[],[f42]) ).
fof(f184,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f43]) ).
fof(f185,plain,
aVector0(xq),
inference(cnf_transformation,[],[f43]) ).
fof(f186,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(cnf_transformation,[],[f44]) ).
fof(f187,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f188,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(cnf_transformation,[],[f45]) ).
fof(f189,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f190,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f191,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f192,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f193,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f194,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f195,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f196,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f197,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f198,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f199,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f200,plain,
xH = sdtasdt0(xA,xB),
inference(cnf_transformation,[],[f51]) ).
fof(f201,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f202,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f203,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f204,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f205,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f206,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f207,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f208,plain,
xN = sdtasdt0(xR,xS),
inference(cnf_transformation,[],[f55]) ).
fof(f209,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f55]) ).
fof(f210,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f56]) ).
fof(f211,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f57]) ).
fof(f212,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f58]) ).
fof(f213,plain,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f66]) ).
fof(f214,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aVector0(sziznziztdt0(X0)) ),
inference(equality_resolution,[],[f169]) ).
fof(f215,plain,
! [X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| aDimensionOf0(X0) = szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) ),
inference(equality_resolution,[],[f168]) ).
fof(f216,plain,
! [X3,X0] :
( ~ aVector0(X0)
| sz00 = aDimensionOf0(X0)
| ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X0,X3) = sdtlbdtrb0(sziznziztdt0(X0),X3) ),
inference(equality_resolution,[],[f167]) ).
tcf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f126]) ).
tcf(c_50,plain,
! [X0: $i] :
( aNaturalNumber0(szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_51,plain,
! [X0: $i] :
( ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != sz00 ) ),
inference(cnf_transformation,[],[f127]) ).
tcf(c_52,plain,
! [X0: $i] :
( aNaturalNumber0(sK0(X0))
| ( X0 = sz00 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
tcf(c_53,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( szszuzczcdt0(sK0(X0)) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( szszuzczcdt0(X0) != szszuzczcdt0(X1) ) ),
inference(cnf_transformation,[],[f131]) ).
tcf(c_55,plain,
! [X0: $i] :
( iLess0(X0,szszuzczcdt0(X0))
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f132]) ).
tcf(c_56,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f133]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f134]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_59,plain,
! [X0: $i] :
( aScalar0(smndt0(X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_60,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz0z00) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_61,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,X0) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_62,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_63,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f139]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( smndt0(smndt0(X0)) = X0 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X0,X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,smndt0(X1)) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = smndt0(sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_78,plain,
! [X0: $i] :
( sdtlseqdt0(X0,X0)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_86,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sdtasdt0(X1,X1) ) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_88,plain,
! [X0: $i] :
( aNaturalNumber0(aDimensionOf0(X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtlbdtrb0(X1,X0))
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( ( sziznziztdt0(X0) = X1 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X1)) != aDimensionOf0(X0) )
| ( sdtlbdtrb0(X0,sK1(X0,X1)) != sdtlbdtrb0(X1,sK1(X0,X1)) ) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sK1(X1,X0))
| ( sziznziztdt0(X1) = X0 )
| ( aDimensionOf0(X1) = sz00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_92,plain,
! [X0: $i] :
( aVector0(sziznziztdt0(X0))
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_93,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),X0) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(X1)) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( aScalar0(sdtasasdt0(X0,X1))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( ( sdtasasdt0(X0,X1) = sz0z00 )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X1) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(X0,X1) )
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_99,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_100,plain,
aVector0(xs),
inference(cnf_transformation,[],[f178]) ).
tcf(c_101,plain,
aVector0(xt),
inference(cnf_transformation,[],[f177]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ iLess0(aDimensionOf0(X0),aDimensionOf0(xs))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_103,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(cnf_transformation,[],[f180]) ).
tcf(c_104,plain,
aDimensionOf0(xs) != sz00,
inference(cnf_transformation,[],[f181]) ).
tcf(c_105,plain,
aVector0(xp),
inference(cnf_transformation,[],[f183]) ).
tcf(c_106,plain,
sziznziztdt0(xs) = xp,
inference(cnf_transformation,[],[f182]) ).
tcf(c_107,plain,
aVector0(xq),
inference(cnf_transformation,[],[f185]) ).
tcf(c_108,plain,
sziznziztdt0(xt) = xq,
inference(cnf_transformation,[],[f184]) ).
tcf(c_109,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f187]) ).
tcf(c_110,plain,
sdtlbdtrb0(xs,aDimensionOf0(xs)) = xA,
inference(cnf_transformation,[],[f186]) ).
tcf(c_111,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f189]) ).
tcf(c_112,plain,
sdtlbdtrb0(xt,aDimensionOf0(xt)) = xB,
inference(cnf_transformation,[],[f188]) ).
tcf(c_113,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f191]) ).
tcf(c_114,plain,
sdtasasdt0(xp,xp) = xC,
inference(cnf_transformation,[],[f190]) ).
tcf(c_115,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f193]) ).
tcf(c_116,plain,
sdtasasdt0(xq,xq) = xD,
inference(cnf_transformation,[],[f192]) ).
tcf(c_117,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f195]) ).
tcf(c_118,plain,
sdtasasdt0(xp,xq) = xE,
inference(cnf_transformation,[],[f194]) ).
tcf(c_119,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f197]) ).
tcf(c_120,plain,
sdtasdt0(xA,xA) = xF,
inference(cnf_transformation,[],[f196]) ).
tcf(c_121,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f199]) ).
tcf(c_122,plain,
sdtasdt0(xB,xB) = xG,
inference(cnf_transformation,[],[f198]) ).
tcf(c_123,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f201]) ).
tcf(c_124,plain,
sdtasdt0(xA,xB) = xH,
inference(cnf_transformation,[],[f200]) ).
tcf(c_125,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f203]) ).
tcf(c_126,plain,
sdtasdt0(xC,xG) = xR,
inference(cnf_transformation,[],[f202]) ).
tcf(c_127,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f205]) ).
tcf(c_128,plain,
sdtasdt0(xE,xH) = xP,
inference(cnf_transformation,[],[f204]) ).
tcf(c_129,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f207]) ).
tcf(c_130,plain,
sdtasdt0(xF,xD) = xS,
inference(cnf_transformation,[],[f206]) ).
tcf(c_131,plain,
aScalar0(xN),
inference(cnf_transformation,[],[f209]) ).
tcf(c_132,plain,
sdtasdt0(xR,xS) = xN,
inference(cnf_transformation,[],[f208]) ).
tcf(c_133,plain,
sdtlseqdt0(sdtasdt0(xE,xE),sdtasdt0(xC,xD)),
inference(cnf_transformation,[],[f210]) ).
tcf(c_134,plain,
sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f211]) ).
tcf(c_135,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(cnf_transformation,[],[f212]) ).
tcf(c_136,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cnf_transformation,[],[f213]) ).
tcf(c_144,plain,
( ( smndt0(sz0z00) = sz0z00 )
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_183,plain,
smndt0(sz0z00) = sz0z00,
inference(global_subsumption_just,[status(thm)],[c_67,c_56,c_144]) ).
tcf(c_635,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(light_normalisation,[status(thm)],[c_112,c_103]) ).
tcf(c_994,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X1,X2),sdtasasdt0(X1,X2)),sdtasdt0(sdtasasdt0(X1,X1),sdtasasdt0(X2,X2)))
| ~ aVector0(X2)
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0)
| ( aDimensionOf0(X1) != X0 )
| ( aDimensionOf0(X1) != aDimensionOf0(X2) )
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(resolution_lifted,[status(thm)],[c_55,c_102]) ).
tcf(c_995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ~ aNaturalNumber0(aDimensionOf0(X0))
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(unflattening,[status(thm)],[c_994]) ).
tcf(c_997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) )
| ( aDimensionOf0(X0) != aDimensionOf0(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_995,c_88,c_995]) ).
tcf(c_998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(sdtasasdt0(X0,X1),sdtasasdt0(X0,X1)),sdtasdt0(sdtasasdt0(X0,X0),sdtasasdt0(X1,X1)))
| ~ aVector0(X1)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(X1) )
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(xs) ) ),
inference(renaming,[status(thm)],[c_997]) ).
tcf(c_1819,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_71]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_71]) ).
tcf(c_1821,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_71]) ).
tcf(c_1822,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_69]) ).
tcf(c_1823,plain,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_69]) ).
tcf(c_1824,definition,
iPr_def_13 = sdtasasdt0(xs,xt),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1825,definition,
iPr_def_14 = sdtasdt0(iPr_def_13,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1826,definition,
iPr_def_15 = sdtasasdt0(xs,xs),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1827,definition,
iPr_def_16 = sdtasasdt0(xt,xt),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1828,definition,
iPr_def_17 = sdtasdt0(iPr_def_15,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1829,negated_conjecture,
~ sdtlseqdt0(iPr_def_14,iPr_def_17),
inference(demodulation,[status(thm)],[c_136,c_1827,c_1826,c_1828,c_1824,c_1825]) ).
tcf(c_1855,plain,
( ~ iPr_def_10
| ~ aScalar0(sz0z00) ),
inference(instantiation,[status(thm)],[c_1819]) ).
tcf(c_2898,plain,
iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_1821,c_56,c_1855,c_1821]) ).
tcf(c_2900,plain,
iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_1823,c_56,c_1855,c_1823]) ).
tcf(c_2917,plain,
( aNaturalNumber0(aDimensionOf0(xs))
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_103,c_88]) ).
tcf(c_2918,plain,
aNaturalNumber0(aDimensionOf0(xs)),
inference(forward_subsumption_resolution,[status(thm)],[c_2917,c_101]) ).
tcf(c_2919,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_1819,c_56,c_1855]) ).
tcf(c_2925,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[status(thm)],[c_120,c_86]) ).
tcf(c_2926,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[status(thm)],[c_122,c_86]) ).
tcf(c_2927,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_1825,c_86]) ).
tcf(c_2930,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[status(thm)],[c_2926,c_111]) ).
tcf(c_2931,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[status(thm)],[c_2925,c_109]) ).
tcf(c_2940,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[status(thm)],[c_114,c_99]) ).
tcf(c_2941,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[status(thm)],[c_116,c_99]) ).
tcf(c_2942,plain,
( sdtlseqdt0(sz0z00,iPr_def_15)
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_1826,c_99]) ).
tcf(c_2943,plain,
( sdtlseqdt0(sz0z00,iPr_def_16)
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_1827,c_99]) ).
tcf(c_2944,plain,
sdtlseqdt0(sz0z00,iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_2943,c_101]) ).
tcf(c_2945,plain,
sdtlseqdt0(sz0z00,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_2942,c_100]) ).
tcf(c_2946,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[status(thm)],[c_2941,c_107]) ).
tcf(c_2947,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[status(thm)],[c_2940,c_105]) ).
tcf(c_2956,plain,
sdtpldt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_60]) ).
tcf(c_2957,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz0z00) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_60]) ).
tcf(c_2958,plain,
sdtpldt0(xA,sz0z00) = xA,
inference(superposition,[status(thm)],[c_109,c_60]) ).
tcf(c_2959,plain,
sdtpldt0(xB,sz0z00) = xB,
inference(superposition,[status(thm)],[c_111,c_60]) ).
tcf(c_2960,plain,
sdtpldt0(xC,sz0z00) = xC,
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_2961,plain,
sdtpldt0(xD,sz0z00) = xD,
inference(superposition,[status(thm)],[c_115,c_60]) ).
tcf(c_2962,plain,
sdtpldt0(xE,sz0z00) = xE,
inference(superposition,[status(thm)],[c_117,c_60]) ).
tcf(c_2963,plain,
sdtpldt0(xF,sz0z00) = xF,
inference(superposition,[status(thm)],[c_119,c_60]) ).
tcf(c_2964,plain,
sdtpldt0(xG,sz0z00) = xG,
inference(superposition,[status(thm)],[c_121,c_60]) ).
tcf(c_2965,plain,
sdtpldt0(xH,sz0z00) = xH,
inference(superposition,[status(thm)],[c_123,c_60]) ).
tcf(c_2966,plain,
sdtpldt0(xR,sz0z00) = xR,
inference(superposition,[status(thm)],[c_125,c_60]) ).
tcf(c_2967,plain,
sdtpldt0(xP,sz0z00) = xP,
inference(superposition,[status(thm)],[c_127,c_60]) ).
tcf(c_2968,plain,
sdtpldt0(xS,sz0z00) = xS,
inference(superposition,[status(thm)],[c_129,c_60]) ).
tcf(c_2969,plain,
sdtpldt0(xN,sz0z00) = xN,
inference(superposition,[status(thm)],[c_131,c_60]) ).
tcf(c_2978,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,smndt0(X0)) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_61]) ).
tcf(c_2979,plain,
sdtpldt0(sz0z00,xA) = xA,
inference(superposition,[status(thm)],[c_109,c_61]) ).
tcf(c_2980,plain,
sdtpldt0(sz0z00,xB) = xB,
inference(superposition,[status(thm)],[c_111,c_61]) ).
tcf(c_2981,plain,
sdtpldt0(sz0z00,xC) = xC,
inference(superposition,[status(thm)],[c_113,c_61]) ).
tcf(c_2982,plain,
sdtpldt0(sz0z00,xD) = xD,
inference(superposition,[status(thm)],[c_115,c_61]) ).
tcf(c_2983,plain,
sdtpldt0(sz0z00,xE) = xE,
inference(superposition,[status(thm)],[c_117,c_61]) ).
tcf(c_2984,plain,
sdtpldt0(sz0z00,xF) = xF,
inference(superposition,[status(thm)],[c_119,c_61]) ).
tcf(c_2985,plain,
sdtpldt0(sz0z00,xG) = xG,
inference(superposition,[status(thm)],[c_121,c_61]) ).
tcf(c_2986,plain,
sdtpldt0(sz0z00,xH) = xH,
inference(superposition,[status(thm)],[c_123,c_61]) ).
tcf(c_2987,plain,
sdtpldt0(sz0z00,xR) = xR,
inference(superposition,[status(thm)],[c_125,c_61]) ).
tcf(c_2988,plain,
sdtpldt0(sz0z00,xP) = xP,
inference(superposition,[status(thm)],[c_127,c_61]) ).
tcf(c_2989,plain,
sdtpldt0(sz0z00,xS) = xS,
inference(superposition,[status(thm)],[c_129,c_61]) ).
tcf(c_2990,plain,
sdtpldt0(sz0z00,xN) = xN,
inference(superposition,[status(thm)],[c_131,c_61]) ).
tcf(c_2998,plain,
sdtasdt0(sz0z00,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_62]) ).
tcf(c_2999,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz0z00) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_62]) ).
tcf(c_3000,plain,
sdtasdt0(xA,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_62]) ).
tcf(c_3001,plain,
sdtasdt0(xB,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_62]) ).
tcf(c_3002,plain,
sdtasdt0(xC,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_62]) ).
tcf(c_3003,plain,
sdtasdt0(xD,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_62]) ).
tcf(c_3004,plain,
sdtasdt0(xE,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_62]) ).
tcf(c_3005,plain,
sdtasdt0(xF,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_62]) ).
tcf(c_3006,plain,
sdtasdt0(xG,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_62]) ).
tcf(c_3007,plain,
sdtasdt0(xH,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_62]) ).
tcf(c_3008,plain,
sdtasdt0(xR,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_62]) ).
tcf(c_3009,plain,
sdtasdt0(xP,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_62]) ).
tcf(c_3010,plain,
sdtasdt0(xS,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_62]) ).
tcf(c_3011,plain,
sdtasdt0(xN,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_62]) ).
tcf(c_3015,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2998,c_86]) ).
tcf(c_3016,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(forward_subsumption_resolution,[status(thm)],[c_3015,c_56]) ).
tcf(c_3022,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_63]) ).
tcf(c_3023,plain,
sdtasdt0(sz0z00,xA) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_63]) ).
tcf(c_3024,plain,
sdtasdt0(sz0z00,xB) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_63]) ).
tcf(c_3025,plain,
sdtasdt0(sz0z00,xC) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_3026,plain,
sdtasdt0(sz0z00,xD) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_63]) ).
tcf(c_3027,plain,
sdtasdt0(sz0z00,xE) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_63]) ).
tcf(c_3028,plain,
sdtasdt0(sz0z00,xF) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_63]) ).
tcf(c_3029,plain,
sdtasdt0(sz0z00,xG) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_63]) ).
tcf(c_3030,plain,
sdtasdt0(sz0z00,xH) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_63]) ).
tcf(c_3031,plain,
sdtasdt0(sz0z00,xR) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_63]) ).
tcf(c_3032,plain,
sdtasdt0(sz0z00,xP) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_63]) ).
tcf(c_3033,plain,
sdtasdt0(sz0z00,xS) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_63]) ).
tcf(c_3034,plain,
sdtasdt0(sz0z00,xN) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_63]) ).
tcf(c_3042,plain,
smndt0(smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_3043,plain,
! [X0: $i] :
( ( smndt0(smndt0(smndt0(X0))) = smndt0(X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_66]) ).
tcf(c_3044,plain,
smndt0(smndt0(xA)) = xA,
inference(superposition,[status(thm)],[c_109,c_66]) ).
tcf(c_3045,plain,
smndt0(smndt0(xB)) = xB,
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_3046,plain,
smndt0(smndt0(xC)) = xC,
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_3047,plain,
smndt0(smndt0(xD)) = xD,
inference(superposition,[status(thm)],[c_115,c_66]) ).
tcf(c_3048,plain,
smndt0(smndt0(xE)) = xE,
inference(superposition,[status(thm)],[c_117,c_66]) ).
tcf(c_3049,plain,
smndt0(smndt0(xF)) = xF,
inference(superposition,[status(thm)],[c_119,c_66]) ).
tcf(c_3050,plain,
smndt0(smndt0(xG)) = xG,
inference(superposition,[status(thm)],[c_121,c_66]) ).
tcf(c_3051,plain,
smndt0(smndt0(xH)) = xH,
inference(superposition,[status(thm)],[c_123,c_66]) ).
tcf(c_3052,plain,
smndt0(smndt0(xR)) = xR,
inference(superposition,[status(thm)],[c_125,c_66]) ).
tcf(c_3053,plain,
smndt0(smndt0(xP)) = xP,
inference(superposition,[status(thm)],[c_127,c_66]) ).
tcf(c_3054,plain,
smndt0(smndt0(xS)) = xS,
inference(superposition,[status(thm)],[c_129,c_66]) ).
tcf(c_3055,plain,
smndt0(smndt0(xN)) = xN,
inference(superposition,[status(thm)],[c_131,c_66]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtpldt0(X0,X1))) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_66]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_63]) ).
tcf(c_3086,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_62]) ).
tcf(c_3087,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_61]) ).
tcf(c_3088,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz0z00) = sdtpldt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_60]) ).
tcf(c_3134,plain,
( aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(superposition,[status(thm)],[c_1825,c_58]) ).
tcf(c_3135,plain,
( aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15) ),
inference(superposition,[status(thm)],[c_1828,c_58]) ).
tcf(c_3137,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtasdt0(X0,X1))) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_66]) ).
tcf(c_3138,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_63]) ).
tcf(c_3139,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz0z00) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_62]) ).
tcf(c_3140,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_61]) ).
tcf(c_3141,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz0z00) = sdtasdt0(X0,X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_60]) ).
tcf(c_3173,plain,
sdtpldt0(sz0z00,smndt0(sz0z00)) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_3174,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_64]) ).
tcf(c_3175,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_64]) ).
tcf(c_3176,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_64]) ).
tcf(c_3177,plain,
sdtpldt0(xA,smndt0(xA)) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_64]) ).
tcf(c_3178,plain,
sdtpldt0(xB,smndt0(xB)) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_3179,plain,
sdtpldt0(xC,smndt0(xC)) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_64]) ).
tcf(c_3180,plain,
sdtpldt0(xD,smndt0(xD)) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_64]) ).
tcf(c_3181,plain,
sdtpldt0(xE,smndt0(xE)) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_64]) ).
tcf(c_3182,plain,
sdtpldt0(xF,smndt0(xF)) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_64]) ).
tcf(c_3183,plain,
sdtpldt0(xG,smndt0(xG)) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_64]) ).
tcf(c_3184,plain,
sdtpldt0(xH,smndt0(xH)) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_64]) ).
tcf(c_3185,plain,
sdtpldt0(xR,smndt0(xR)) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_64]) ).
tcf(c_3186,plain,
sdtpldt0(xP,smndt0(xP)) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_64]) ).
tcf(c_3187,plain,
sdtpldt0(xS,smndt0(xS)) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_64]) ).
tcf(c_3188,plain,
sdtpldt0(xN,smndt0(xN)) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_64]) ).
tcf(c_3201,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_3224,plain,
sdtpldt0(smndt0(sz0z00),sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_3225,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_65]) ).
tcf(c_3226,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_65]) ).
tcf(c_3227,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz0z00 )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_65]) ).
tcf(c_3228,plain,
sdtpldt0(smndt0(xA),xA) = sz0z00,
inference(superposition,[status(thm)],[c_109,c_65]) ).
tcf(c_3229,plain,
sdtpldt0(smndt0(xB),xB) = sz0z00,
inference(superposition,[status(thm)],[c_111,c_65]) ).
tcf(c_3230,plain,
sdtpldt0(smndt0(xC),xC) = sz0z00,
inference(superposition,[status(thm)],[c_113,c_65]) ).
tcf(c_3231,plain,
sdtpldt0(smndt0(xD),xD) = sz0z00,
inference(superposition,[status(thm)],[c_115,c_65]) ).
tcf(c_3232,plain,
sdtpldt0(smndt0(xE),xE) = sz0z00,
inference(superposition,[status(thm)],[c_117,c_65]) ).
tcf(c_3233,plain,
sdtpldt0(smndt0(xF),xF) = sz0z00,
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_3234,plain,
sdtpldt0(smndt0(xG),xG) = sz0z00,
inference(superposition,[status(thm)],[c_121,c_65]) ).
tcf(c_3235,plain,
sdtpldt0(smndt0(xH),xH) = sz0z00,
inference(superposition,[status(thm)],[c_123,c_65]) ).
tcf(c_3236,plain,
sdtpldt0(smndt0(xR),xR) = sz0z00,
inference(superposition,[status(thm)],[c_125,c_65]) ).
tcf(c_3237,plain,
sdtpldt0(smndt0(xP),xP) = sz0z00,
inference(superposition,[status(thm)],[c_127,c_65]) ).
tcf(c_3238,plain,
sdtpldt0(smndt0(xS),xS) = sz0z00,
inference(superposition,[status(thm)],[c_129,c_65]) ).
tcf(c_3239,plain,
sdtpldt0(smndt0(xN),xN) = sz0z00,
inference(superposition,[status(thm)],[c_131,c_65]) ).
tcf(c_3282,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtlbdtrb0(X1,X0)),sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_65]) ).
tcf(c_3283,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),smndt0(sdtlbdtrb0(X1,X0))) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_3284,plain,
! [X0: $i,X1: $i] :
( ( smndt0(smndt0(sdtlbdtrb0(X1,X0))) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_3285,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz0z00,sdtlbdtrb0(X1,X0)) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_63]) ).
tcf(c_3286,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtlbdtrb0(X1,X0),sz0z00) = sz0z00 )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_62]) ).
tcf(c_3287,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz0z00,sdtlbdtrb0(X1,X0)) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_61]) ).
tcf(c_3288,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtlbdtrb0(X1,X0),sz0z00) = sdtlbdtrb0(X1,X0) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_60]) ).
tcf(c_3355,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_83,c_1829]) ).
tcf(c_3369,plain,
! [X0: $i] :
( ( szszuzczcdt0(X0) = sz00 )
| ( szszuzczcdt0(sK0(szszuzczcdt0(X0))) = szszuzczcdt0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_53]) ).
tcf(c_3370,plain,
! [X0: $i] :
( ( X0 = sz00 )
| ( sK0(X0) = sz00 )
| ( szszuzczcdt0(sK0(sK0(X0))) = sK0(X0) )
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_53]) ).
tcf(c_3371,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(X0))) = aDimensionOf0(X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_53]) ).
tcf(c_3372,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_2918,c_53]) ).
tcf(c_3373,plain,
szszuzczcdt0(sK0(aDimensionOf0(xs))) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3372,c_104]) ).
tcf(c_3411,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_3412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_75]) ).
tcf(c_3413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),smndt0(X2)) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_75]) ).
tcf(c_3414,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),smndt0(X1)) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_75]) ).
tcf(c_3415,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtlbdtrb0(X2,X0),smndt0(X1)) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_75]) ).
tcf(c_3416,plain,
! [X0: $i] :
( ( sdtasdt0(xA,smndt0(X0)) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_75]) ).
tcf(c_3417,plain,
! [X0: $i] :
( ( sdtasdt0(xB,smndt0(X0)) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_75]) ).
tcf(c_3418,plain,
! [X0: $i] :
( ( sdtasdt0(xC,smndt0(X0)) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_75]) ).
tcf(c_3419,plain,
! [X0: $i] :
( ( sdtasdt0(xD,smndt0(X0)) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_75]) ).
tcf(c_3420,plain,
! [X0: $i] :
( ( sdtasdt0(xE,smndt0(X0)) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_75]) ).
tcf(c_3421,plain,
! [X0: $i] :
( ( sdtasdt0(xF,smndt0(X0)) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_75]) ).
tcf(c_3422,plain,
! [X0: $i] :
( ( sdtasdt0(xG,smndt0(X0)) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_75]) ).
tcf(c_3423,plain,
! [X0: $i] :
( ( sdtasdt0(xH,smndt0(X0)) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_75]) ).
tcf(c_3424,plain,
! [X0: $i] :
( ( sdtasdt0(xR,smndt0(X0)) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_75]) ).
tcf(c_3425,plain,
! [X0: $i] :
( ( sdtasdt0(xP,smndt0(X0)) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_75]) ).
tcf(c_3426,plain,
! [X0: $i] :
( ( sdtasdt0(xS,smndt0(X0)) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_75]) ).
tcf(c_3427,plain,
! [X0: $i] :
( ( sdtasdt0(xN,smndt0(X0)) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_75]) ).
tcf(c_3503,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),X0) = smndt0(sdtasdt0(sz0z00,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_3504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtpldt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_76]) ).
tcf(c_3505,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),X2) = smndt0(sdtasdt0(sdtasdt0(X0,X1),X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_76]) ).
tcf(c_3506,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),X1) = smndt0(sdtasdt0(smndt0(X0),X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_76]) ).
tcf(c_3507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),X1) = smndt0(sdtasdt0(sdtlbdtrb0(X2,X0),X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_76]) ).
tcf(c_3508,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),X0) = smndt0(sdtasdt0(xA,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_76]) ).
tcf(c_3509,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),X0) = smndt0(sdtasdt0(xB,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_76]) ).
tcf(c_3510,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),X0) = smndt0(sdtasdt0(xC,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_76]) ).
tcf(c_3511,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),X0) = smndt0(sdtasdt0(xD,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_76]) ).
tcf(c_3512,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),X0) = smndt0(sdtasdt0(xE,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_76]) ).
tcf(c_3513,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),X0) = smndt0(sdtasdt0(xF,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_76]) ).
tcf(c_3514,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),X0) = smndt0(sdtasdt0(xG,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_76]) ).
tcf(c_3515,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),X0) = smndt0(sdtasdt0(xH,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_76]) ).
tcf(c_3516,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),X0) = smndt0(sdtasdt0(xR,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_76]) ).
tcf(c_3517,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),X0) = smndt0(sdtasdt0(xP,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_76]) ).
tcf(c_3518,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),X0) = smndt0(sdtasdt0(xS,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_76]) ).
tcf(c_3519,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),X0) = smndt0(sdtasdt0(xN,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_76]) ).
tcf(c_3544,plain,
! [X0: $i] :
( ( smndt0(sdtasdt0(sz0z00,X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3503,c_183]) ).
tcf(c_3608,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(sz0z00),smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_3609,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_77]) ).
tcf(c_3610,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),smndt0(X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_77]) ).
tcf(c_3611,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),smndt0(X1)) = sdtasdt0(smndt0(X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_77]) ).
tcf(c_3612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(smndt0(sdtlbdtrb0(X2,X0)),smndt0(X1)) = sdtasdt0(sdtlbdtrb0(X2,X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_77]) ).
tcf(c_3613,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xA),smndt0(X0)) = sdtasdt0(xA,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_77]) ).
tcf(c_3614,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xB),smndt0(X0)) = sdtasdt0(xB,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_77]) ).
tcf(c_3615,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xC),smndt0(X0)) = sdtasdt0(xC,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_77]) ).
tcf(c_3616,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xD),smndt0(X0)) = sdtasdt0(xD,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_77]) ).
tcf(c_3617,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xE),smndt0(X0)) = sdtasdt0(xE,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_77]) ).
tcf(c_3618,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xF),smndt0(X0)) = sdtasdt0(xF,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_77]) ).
tcf(c_3619,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xG),smndt0(X0)) = sdtasdt0(xG,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_77]) ).
tcf(c_3620,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xH),smndt0(X0)) = sdtasdt0(xH,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_77]) ).
tcf(c_3621,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xR),smndt0(X0)) = sdtasdt0(xR,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_77]) ).
tcf(c_3622,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xP),smndt0(X0)) = sdtasdt0(xP,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_77]) ).
tcf(c_3623,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xS),smndt0(X0)) = sdtasdt0(xS,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_77]) ).
tcf(c_3624,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(xN),smndt0(X0)) = sdtasdt0(xN,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_77]) ).
tcf(c_3649,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,smndt0(X0)) = sdtasdt0(sz0z00,X0) )
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_3608,c_183]) ).
tcf(c_3716,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(sziznziztdt0(X0)))) = aDimensionOf0(sziznziztdt0(X0)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_92,c_93]) ).
tcf(c_3717,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_100,c_93]) ).
tcf(c_3718,plain,
( ( aDimensionOf0(xt) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xt) ) ),
inference(superposition,[status(thm)],[c_101,c_93]) ).
tcf(c_3719,plain,
( ( aDimensionOf0(xp) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xp))) = aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_105,c_93]) ).
tcf(c_3720,plain,
( ( aDimensionOf0(xq) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(sziznziztdt0(xq))) = aDimensionOf0(xq) ) ),
inference(superposition,[status(thm)],[c_107,c_93]) ).
tcf(c_3725,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3718,c_103,c_108]) ).
tcf(c_3726,plain,
szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3725,c_104]) ).
tcf(c_3727,plain,
( ( aDimensionOf0(xs) = sz00 )
| ( szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_3717,c_106]) ).
tcf(c_3728,plain,
szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs),
inference(forward_subsumption_resolution,[status(thm)],[c_3727,c_104]) ).
tcf(c_3756,plain,
! [X0: $i] :
( ( sK0(aDimensionOf0(xs)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sK0(aDimensionOf0(xs)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3373,c_54]) ).
tcf(c_3772,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3773,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_96]) ).
tcf(c_3774,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_96]) ).
tcf(c_3777,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(X0,xt))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3773,c_101]) ).
tcf(c_3781,plain,
! [X0: $i] :
( aScalar0(sdtasasdt0(xt,X0))
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3772,c_101]) ).
tcf(c_3811,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_86,c_79]) ).
tcf(c_3812,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(superposition,[status(thm)],[c_99,c_79]) ).
tcf(c_3813,plain,
( ( sdtasdt0(xC,xD) = sdtasdt0(xE,xE) )
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_133,c_79]) ).
tcf(c_3814,plain,
( ( sdtpldt0(xR,xS) = sdtpldt0(xP,xP) )
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_134,c_79]) ).
tcf(c_3815,plain,
( ( sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) )
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))) ),
inference(superposition,[status(thm)],[c_135,c_79]) ).
tcf(c_3817,plain,
( ( sz0z00 = xF )
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(superposition,[status(thm)],[c_2931,c_79]) ).
tcf(c_3818,plain,
( ( sz0z00 = xG )
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(superposition,[status(thm)],[c_2930,c_79]) ).
tcf(c_3819,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_2927,c_79]) ).
tcf(c_3820,plain,
( ( sz0z00 = xC )
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(superposition,[status(thm)],[c_2947,c_79]) ).
tcf(c_3821,plain,
( ( sz0z00 = xD )
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(superposition,[status(thm)],[c_2946,c_79]) ).
tcf(c_3822,plain,
( ( sz0z00 = iPr_def_15 )
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_15,sz0z00) ),
inference(superposition,[status(thm)],[c_2945,c_79]) ).
tcf(c_3823,plain,
( ( sz0z00 = iPr_def_16 )
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_16,sz0z00) ),
inference(superposition,[status(thm)],[c_2944,c_79]) ).
tcf(c_3825,plain,
( ( sz0z00 = iPr_def_16 )
| ~ aScalar0(iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3823,c_56]) ).
tcf(c_3829,plain,
( ( sz0z00 = iPr_def_15 )
| ~ aScalar0(iPr_def_15)
| ~ sdtlseqdt0(iPr_def_15,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3822,c_56]) ).
tcf(c_3833,plain,
( ( sz0z00 = xD )
| ~ sdtlseqdt0(xD,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3821,c_115,c_56]) ).
tcf(c_3836,plain,
( ( sz0z00 = xC )
| ~ sdtlseqdt0(xC,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3820,c_113,c_56]) ).
tcf(c_3839,plain,
( ( sz0z00 = xG )
| ~ sdtlseqdt0(xG,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3818,c_121,c_56]) ).
tcf(c_3842,plain,
( ( sz0z00 = xF )
| ~ sdtlseqdt0(xF,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3817,c_119,c_56]) ).
tcf(c_3845,plain,
( ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3819,c_56]) ).
tcf(c_3850,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3812,c_56]) ).
tcf(c_3855,plain,
! [X0: $i] :
( ( sdtasdt0(X0,X0) = sz0z00 )
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3811,c_56]) ).
tcf(c_3922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_84,c_79]) ).
tcf(c_3923,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3922,c_56]) ).
tcf(c_3957,plain,
! [X0: $i] :
( ( aDimensionOf0(xq) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xq))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3726,c_54]) ).
tcf(c_3975,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(superposition,[status(thm)],[c_124,c_85]) ).
tcf(c_3976,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC) ),
inference(superposition,[status(thm)],[c_126,c_85]) ).
tcf(c_3977,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(superposition,[status(thm)],[c_128,c_85]) ).
tcf(c_3978,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(superposition,[status(thm)],[c_130,c_85]) ).
tcf(c_3979,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(superposition,[status(thm)],[c_132,c_85]) ).
tcf(c_3982,plain,
( sdtlseqdt0(sz0z00,iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(sz0z00,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1828,c_85]) ).
tcf(c_4007,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(superposition,[status(thm)],[c_85,c_79]) ).
tcf(c_4008,plain,
( sdtlseqdt0(sz0z00,iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3982,c_2944,c_2945]) ).
tcf(c_4012,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3979,c_129,c_125]) ).
tcf(c_4016,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[status(thm)],[c_3978,c_119,c_115,c_2931,c_2946]) ).
tcf(c_4017,plain,
( sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(sz0z00,xR) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4012,c_4016]) ).
tcf(c_4020,plain,
( sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3977,c_123,c_117]) ).
tcf(c_4024,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[status(thm)],[c_3976,c_121,c_113,c_2930,c_2947]) ).
tcf(c_4025,plain,
sdtlseqdt0(sz0z00,xN),
inference(backward_subsumption_resolution,[status(thm)],[c_4017,c_4024]) ).
tcf(c_4026,plain,
( sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3975,c_111,c_109]) ).
tcf(c_4030,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sz0z00 )
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4007,c_56]) ).
tcf(c_4053,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_80]) ).
tcf(c_4055,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_84,c_80]) ).
tcf(c_4056,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_85,c_80]) ).
tcf(c_4057,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_86,c_80]) ).
tcf(c_4058,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(superposition,[status(thm)],[c_99,c_80]) ).
tcf(c_4059,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(sdtasdt0(xC,xD),X0) ),
inference(superposition,[status(thm)],[c_133,c_80]) ).
tcf(c_4060,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),X0) ),
inference(superposition,[status(thm)],[c_134,c_80]) ).
tcf(c_4061,plain,
! [X0: $i] :
( sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),X0) ),
inference(superposition,[status(thm)],[c_135,c_80]) ).
tcf(c_4063,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(superposition,[status(thm)],[c_2931,c_80]) ).
tcf(c_4064,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(superposition,[status(thm)],[c_2930,c_80]) ).
tcf(c_4065,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_2927,c_80]) ).
tcf(c_4066,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_2947,c_80]) ).
tcf(c_4067,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_2946,c_80]) ).
tcf(c_4068,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_2945,c_80]) ).
tcf(c_4069,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_2944,c_80]) ).
tcf(c_4070,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_3355,c_80]) ).
tcf(c_4076,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4069,c_56]) ).
tcf(c_4081,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4068,c_56]) ).
tcf(c_4086,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4067,c_115,c_56]) ).
tcf(c_4090,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4066,c_113,c_56]) ).
tcf(c_4094,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4064,c_121,c_56]) ).
tcf(c_4098,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4063,c_119,c_56]) ).
tcf(c_4102,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4065,c_56]) ).
tcf(c_4114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aVector0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(sdtasasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4058,c_56]) ).
tcf(c_4120,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0))
| ~ sdtlseqdt0(sdtasdt0(X0,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4057,c_56]) ).
tcf(c_4136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4056,c_56]) ).
tcf(c_4145,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sz0z00,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4055,c_56]) ).
tcf(c_4187,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),sz00) = sdtlbdtrb0(X0,sz00) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_49,c_94]) ).
tcf(c_4188,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),szszuzczcdt0(X0)) = sdtlbdtrb0(X1,szszuzczcdt0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_4189,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),sK0(X0)) = sdtlbdtrb0(X1,sK0(X0)) )
| ~ aVector0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_52,c_94]) ).
tcf(c_4190,plain,
! [X0: $i,X1: $i] :
( ( aDimensionOf0(X1) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X1),aDimensionOf0(X0)) = sdtlbdtrb0(X1,aDimensionOf0(X0)) )
| ~ aVector0(X1)
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_88,c_94]) ).
tcf(c_4191,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtlbdtrb0(sziznziztdt0(X0),aDimensionOf0(xs)) = sdtlbdtrb0(X0,aDimensionOf0(xs)) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_2918,c_94]) ).
tcf(c_4244,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz0z00,X0),X1) = sdtpldt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_68]) ).
tcf(c_4245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_68]) ).
tcf(c_4246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_68]) ).
tcf(c_4247,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_68]) ).
tcf(c_4248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtpldt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_68]) ).
tcf(c_4249,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xA,X0),X1) = sdtpldt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_68]) ).
tcf(c_4250,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xB,X0),X1) = sdtpldt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_68]) ).
tcf(c_4251,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xC,X0),X1) = sdtpldt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_68]) ).
tcf(c_4252,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xD,X0),X1) = sdtpldt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_68]) ).
tcf(c_4253,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xE,X0),X1) = sdtpldt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_68]) ).
tcf(c_4254,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xF,X0),X1) = sdtpldt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_68]) ).
tcf(c_4255,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xG,X0),X1) = sdtpldt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_68]) ).
tcf(c_4256,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xH,X0),X1) = sdtpldt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_68]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xR,X0),X1) = sdtpldt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_68]) ).
tcf(c_4258,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xP,X0),X1) = sdtpldt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_68]) ).
tcf(c_4259,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xS,X0),X1) = sdtpldt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_68]) ).
tcf(c_4260,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xN,X0),X1) = sdtpldt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_68]) ).
tcf(c_4341,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(superposition,[status(thm)],[c_4016,c_80]) ).
tcf(c_4342,plain,
( ( sz0z00 = xS )
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(superposition,[status(thm)],[c_4016,c_79]) ).
tcf(c_4343,plain,
( ( sz0z00 = xS )
| ~ sdtlseqdt0(xS,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4342,c_129,c_56]) ).
tcf(c_4346,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4341,c_129,c_56]) ).
tcf(c_4350,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_4024,c_80]) ).
tcf(c_4351,plain,
( ( sz0z00 = xR )
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(superposition,[status(thm)],[c_4024,c_79]) ).
tcf(c_4352,plain,
( ( sz0z00 = xR )
| ~ sdtlseqdt0(xR,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4351,c_125,c_56]) ).
tcf(c_4355,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4350,c_125,c_56]) ).
tcf(c_4359,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(superposition,[status(thm)],[c_4025,c_80]) ).
tcf(c_4360,plain,
( ( sz0z00 = xN )
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(superposition,[status(thm)],[c_4025,c_79]) ).
tcf(c_4361,plain,
( ( sz0z00 = xN )
| ~ sdtlseqdt0(xN,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4360,c_131,c_56]) ).
tcf(c_4364,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4359,c_131,c_56]) ).
tcf(c_4396,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4070]) ).
tcf(c_4414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4396,c_80]) ).
tcf(c_4415,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4396,c_79]) ).
tcf(c_4416,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4396,c_80]) ).
tcf(c_4417,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4396,c_79]) ).
tcf(c_4461,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4415]) ).
tcf(c_4487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4414]) ).
tcf(c_4488,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_4414]) ).
tcf(c_4489,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_4414]) ).
tcf(c_4490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_4414]) ).
tcf(c_4491,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_4414]) ).
tcf(c_4492,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_4414]) ).
tcf(c_4493,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_133,c_4414]) ).
tcf(c_4494,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_134,c_4414]) ).
tcf(c_4495,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_135,c_4414]) ).
tcf(c_4496,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3016,c_4414]) ).
tcf(c_4497,plain,
( sdtlseqdt0(iPr_def_17,xF)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2931,c_4414]) ).
tcf(c_4498,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2930,c_4414]) ).
tcf(c_4499,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2927,c_4414]) ).
tcf(c_4500,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2947,c_4414]) ).
tcf(c_4501,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2946,c_4414]) ).
tcf(c_4502,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_15)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2945,c_4414]) ).
tcf(c_4503,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_16)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2944,c_4414]) ).
tcf(c_4506,plain,
( sdtlseqdt0(iPr_def_17,xR)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4024,c_4414]) ).
tcf(c_4507,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4016,c_4414]) ).
tcf(c_4508,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4025,c_4414]) ).
tcf(c_4510,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4496,c_56]) ).
tcf(c_4515,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4508,c_131,c_56]) ).
tcf(c_4520,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4507,c_129,c_56]) ).
tcf(c_4525,plain,
( sdtlseqdt0(iPr_def_17,xR)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4506,c_125,c_56]) ).
tcf(c_4530,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_16)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4503,c_56]) ).
tcf(c_4536,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_15)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4502,c_56]) ).
tcf(c_4542,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4501,c_115,c_56]) ).
tcf(c_4547,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4500,c_113,c_56]) ).
tcf(c_4552,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4499,c_56]) ).
tcf(c_4558,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4498,c_121,c_56]) ).
tcf(c_4563,plain,
( sdtlseqdt0(iPr_def_17,xF)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4497,c_119,c_56]) ).
tcf(c_4582,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4492,c_56]) ).
tcf(c_4589,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4491,c_56]) ).
tcf(c_4608,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4490,c_56]) ).
tcf(c_4618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4489,c_56]) ).
tcf(c_4688,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_80]) ).
tcf(c_4689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_4487,c_79]) ).
tcf(c_4692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4487,c_80]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4487,c_79]) ).
tcf(c_4696,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4487,c_4414]) ).
tcf(c_4697,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_80]) ).
tcf(c_4698,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_79]) ).
tcf(c_4705,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_4487]) ).
tcf(c_4708,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_14,iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_4487]) ).
tcf(c_4796,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_4487,c_4020]) ).
tcf(c_4797,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_83,c_4020]) ).
tcf(c_4798,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4797,c_117,c_56]) ).
tcf(c_4802,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4796,c_117,c_56]) ).
tcf(c_4819,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz0z00,X0),X1) = sdtasdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_4820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_70]) ).
tcf(c_4821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_70]) ).
tcf(c_4822,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_70]) ).
tcf(c_4823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),X2) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtasdt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_70]) ).
tcf(c_4824,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xA,X0),X1) = sdtasdt0(xA,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_70]) ).
tcf(c_4825,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xB,X0),X1) = sdtasdt0(xB,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_70]) ).
tcf(c_4826,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xC,X0),X1) = sdtasdt0(xC,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_70]) ).
tcf(c_4827,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xD,X0),X1) = sdtasdt0(xD,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_70]) ).
tcf(c_4828,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xE,X0),X1) = sdtasdt0(xE,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_70]) ).
tcf(c_4829,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xF,X0),X1) = sdtasdt0(xF,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_70]) ).
tcf(c_4830,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xG,X0),X1) = sdtasdt0(xG,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_70]) ).
tcf(c_4831,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xH,X0),X1) = sdtasdt0(xH,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_70]) ).
tcf(c_4832,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xR,X0),X1) = sdtasdt0(xR,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_70]) ).
tcf(c_4833,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xP,X0),X1) = sdtasdt0(xP,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_70]) ).
tcf(c_4834,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xS,X0),X1) = sdtasdt0(xS,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_70]) ).
tcf(c_4835,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xN,X0),X1) = sdtasdt0(xN,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_70]) ).
tcf(c_4960,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X0),sdtasdt0(sz0z00,X1)) = sdtasdt0(sz0z00,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_72]) ).
tcf(c_4961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_72]) ).
tcf(c_4962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_72]) ).
tcf(c_4963,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_72]) ).
tcf(c_4964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X1),sdtasdt0(sdtlbdtrb0(X3,X0),X2)) = sdtasdt0(sdtlbdtrb0(X3,X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_72]) ).
tcf(c_4965,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X0),sdtasdt0(xA,X1)) = sdtasdt0(xA,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_72]) ).
tcf(c_4966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X0),sdtasdt0(xB,X1)) = sdtasdt0(xB,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_72]) ).
tcf(c_4967,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X0),sdtasdt0(xC,X1)) = sdtasdt0(xC,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_72]) ).
tcf(c_4968,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X0),sdtasdt0(xD,X1)) = sdtasdt0(xD,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_72]) ).
tcf(c_4969,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X0),sdtasdt0(xE,X1)) = sdtasdt0(xE,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
tcf(c_4970,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X0),sdtasdt0(xF,X1)) = sdtasdt0(xF,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_72]) ).
tcf(c_4971,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X0),sdtasdt0(xG,X1)) = sdtasdt0(xG,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_72]) ).
tcf(c_4972,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X0),sdtasdt0(xH,X1)) = sdtasdt0(xH,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_72]) ).
tcf(c_4973,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X0),sdtasdt0(xR,X1)) = sdtasdt0(xR,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_72]) ).
tcf(c_4974,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X0),sdtasdt0(xP,X1)) = sdtasdt0(xP,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_72]) ).
tcf(c_4975,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X0),sdtasdt0(xS,X1)) = sdtasdt0(xS,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_72]) ).
tcf(c_4976,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X0),sdtasdt0(xN,X1)) = sdtasdt0(xN,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_72]) ).
tcf(c_5101,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz0z00,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_5102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_73]) ).
tcf(c_5103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_73]) ).
tcf(c_5104,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(smndt0(X0),X1),X2) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_73]) ).
tcf(c_5105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtlbdtrb0(X3,X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X3,X0),X1),X2) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_73]) ).
tcf(c_5106,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xA,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_73]) ).
tcf(c_5107,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xB,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_73]) ).
tcf(c_5108,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xC,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_73]) ).
tcf(c_5109,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xD,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_73]) ).
tcf(c_5110,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xE,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_73]) ).
tcf(c_5111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xF,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_73]) ).
tcf(c_5112,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xG,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_73]) ).
tcf(c_5113,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xH,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_73]) ).
tcf(c_5114,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xR,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_73]) ).
tcf(c_5115,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xP,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_73]) ).
tcf(c_5116,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xS,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_73]) ).
tcf(c_5117,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xN,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_73]) ).
tcf(c_5226,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5227,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xt) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_97]) ).
tcf(c_5228,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 ) ),
inference(equality_resolution,[status(thm)],[c_97]) ).
tcf(c_5232,plain,
! [X0: $i] :
( ( sdtasasdt0(X0,xt) = sz0z00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(xs) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5227,c_103]) ).
tcf(c_5233,plain,
! [X0: $i] :
( ( sdtasasdt0(xt,X0) = sz0z00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != sz00 )
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5226,c_101]) ).
tcf(c_5272,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4493,c_80]) ).
tcf(c_5273,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| ( sdtasdt0(xE,xE) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ sdtlseqdt0(iPr_def_14,sdtasdt0(xE,xE)) ),
inference(superposition,[status(thm)],[c_4493,c_79]) ).
tcf(c_5303,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4494,c_80]) ).
tcf(c_5304,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| ( sdtpldt0(xP,xP) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(xP,xP)) ),
inference(superposition,[status(thm)],[c_4494,c_79]) ).
tcf(c_5334,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4495,c_80]) ).
tcf(c_5335,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ( sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| ~ sdtlseqdt0(iPr_def_14,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))) ),
inference(superposition,[status(thm)],[c_4495,c_79]) ).
tcf(c_5361,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4510,c_80]) ).
tcf(c_5362,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4510,c_79]) ).
tcf(c_5363,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5362,c_56]) ).
tcf(c_5369,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5361,c_56]) ).
tcf(c_5390,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4515,c_80]) ).
tcf(c_5391,plain,
( sdtlseqdt0(iPr_def_17,xN)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4515,c_79]) ).
tcf(c_5392,plain,
( sdtlseqdt0(iPr_def_17,xN)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5391,c_56]) ).
tcf(c_5398,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5390,c_56]) ).
tcf(c_5414,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_4520,c_80]) ).
tcf(c_5415,plain,
( sdtlseqdt0(iPr_def_17,xS)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(superposition,[status(thm)],[c_4520,c_79]) ).
tcf(c_5416,plain,
( sdtlseqdt0(iPr_def_17,xS)
| ( sz0z00 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(iPr_def_14,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5415,c_56]) ).
tcf(c_5422,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5414,c_56]) ).
tcf(c_5436,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_4487,c_4026]) ).
tcf(c_5437,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_83,c_4026]) ).
tcf(c_5438,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5437,c_109,c_56]) ).
tcf(c_5442,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5436,c_109,c_56]) ).
tcf(c_5464,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_5465,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(sziznziztdt0(xt)) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_95]) ).
tcf(c_5467,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5465,c_103,c_108]) ).
tcf(c_5468,plain,
! [X0: $i] :
( ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5467,c_104,c_101]) ).
tcf(c_5472,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( aDimensionOf0(sziznziztdt0(X0)) = aDimensionOf0(xq) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_5464,c_108]) ).
tcf(c_5489,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2956,c_81]) ).
tcf(c_5490,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2958,c_81]) ).
tcf(c_5491,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2959,c_81]) ).
tcf(c_5492,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2960,c_81]) ).
tcf(c_5493,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2961,c_81]) ).
tcf(c_5494,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2962,c_81]) ).
tcf(c_5495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2963,c_81]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2964,c_81]) ).
tcf(c_5497,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2965,c_81]) ).
tcf(c_5498,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2966,c_81]) ).
tcf(c_5499,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2967,c_81]) ).
tcf(c_5500,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2968,c_81]) ).
tcf(c_5501,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2969,c_81]) ).
tcf(c_5502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2979,c_81]) ).
tcf(c_5503,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2980,c_81]) ).
tcf(c_5504,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2981,c_81]) ).
tcf(c_5505,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2982,c_81]) ).
tcf(c_5506,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2983,c_81]) ).
tcf(c_5507,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2984,c_81]) ).
tcf(c_5508,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2985,c_81]) ).
tcf(c_5509,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2986,c_81]) ).
tcf(c_5510,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2987,c_81]) ).
tcf(c_5511,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2988,c_81]) ).
tcf(c_5512,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2989,c_81]) ).
tcf(c_5513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2990,c_81]) ).
tcf(c_5514,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3177,c_81]) ).
tcf(c_5515,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3178,c_81]) ).
tcf(c_5516,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3179,c_81]) ).
tcf(c_5517,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3180,c_81]) ).
tcf(c_5518,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3181,c_81]) ).
tcf(c_5519,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3182,c_81]) ).
tcf(c_5520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3183,c_81]) ).
tcf(c_5521,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3184,c_81]) ).
tcf(c_5522,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3185,c_81]) ).
tcf(c_5523,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3186,c_81]) ).
tcf(c_5524,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3187,c_81]) ).
tcf(c_5525,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3188,c_81]) ).
tcf(c_5526,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(superposition,[status(thm)],[c_3228,c_81]) ).
tcf(c_5527,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(superposition,[status(thm)],[c_3229,c_81]) ).
tcf(c_5528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(superposition,[status(thm)],[c_3230,c_81]) ).
tcf(c_5529,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(superposition,[status(thm)],[c_3231,c_81]) ).
tcf(c_5530,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2956,c_81]) ).
tcf(c_5531,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_2958,c_81]) ).
tcf(c_5532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_2959,c_81]) ).
tcf(c_5533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_2960,c_81]) ).
tcf(c_5534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_2961,c_81]) ).
tcf(c_5535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_2962,c_81]) ).
tcf(c_5536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_2963,c_81]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_2964,c_81]) ).
tcf(c_5538,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_2965,c_81]) ).
tcf(c_5539,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_2966,c_81]) ).
tcf(c_5540,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_2967,c_81]) ).
tcf(c_5541,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_2968,c_81]) ).
tcf(c_5542,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_2969,c_81]) ).
tcf(c_5543,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2979,c_81]) ).
tcf(c_5544,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2980,c_81]) ).
tcf(c_5545,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2981,c_81]) ).
tcf(c_5546,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2982,c_81]) ).
tcf(c_5547,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2983,c_81]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2984,c_81]) ).
tcf(c_5549,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2985,c_81]) ).
tcf(c_5550,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2986,c_81]) ).
tcf(c_5551,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2987,c_81]) ).
tcf(c_5552,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2988,c_81]) ).
tcf(c_5553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2989,c_81]) ).
tcf(c_5554,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2990,c_81]) ).
tcf(c_5555,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3177,c_81]) ).
tcf(c_5556,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3178,c_81]) ).
tcf(c_5557,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3179,c_81]) ).
tcf(c_5558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3180,c_81]) ).
tcf(c_5559,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3181,c_81]) ).
tcf(c_5560,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3182,c_81]) ).
tcf(c_5561,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3183,c_81]) ).
tcf(c_5562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3184,c_81]) ).
tcf(c_5563,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3185,c_81]) ).
tcf(c_5564,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3186,c_81]) ).
tcf(c_5565,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3187,c_81]) ).
tcf(c_5566,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3188,c_81]) ).
tcf(c_5567,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(superposition,[status(thm)],[c_3228,c_81]) ).
tcf(c_5568,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(superposition,[status(thm)],[c_3229,c_81]) ).
tcf(c_5569,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(superposition,[status(thm)],[c_3230,c_81]) ).
tcf(c_5570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(superposition,[status(thm)],[c_3231,c_81]) ).
tcf(c_5571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_4414]) ).
tcf(c_5572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtpldt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtpldt0(X3,X4))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_81,c_80]) ).
tcf(c_5573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1))
| ~ sdtlseqdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_81,c_79]) ).
tcf(c_5574,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5530,c_56]) ).
tcf(c_5581,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5554,c_131,c_56]) ).
tcf(c_5587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5553,c_129,c_56]) ).
tcf(c_5593,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5552,c_127,c_56]) ).
tcf(c_5599,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5551,c_125,c_56]) ).
tcf(c_5605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5550,c_123,c_56]) ).
tcf(c_5611,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5549,c_121,c_56]) ).
tcf(c_5617,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5548,c_119,c_56]) ).
tcf(c_5623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5547,c_117,c_56]) ).
tcf(c_5629,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5546,c_115,c_56]) ).
tcf(c_5635,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5545,c_113,c_56]) ).
tcf(c_5641,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5544,c_111,c_56]) ).
tcf(c_5647,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5543,c_109,c_56]) ).
tcf(c_5653,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5542,c_131,c_56]) ).
tcf(c_5659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5541,c_129,c_56]) ).
tcf(c_5665,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5540,c_127,c_56]) ).
tcf(c_5671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5539,c_125,c_56]) ).
tcf(c_5677,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5538,c_123,c_56]) ).
tcf(c_5683,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5537,c_121,c_56]) ).
tcf(c_5689,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5536,c_119,c_56]) ).
tcf(c_5695,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5535,c_117,c_56]) ).
tcf(c_5701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5534,c_115,c_56]) ).
tcf(c_5707,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5533,c_113,c_56]) ).
tcf(c_5713,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5532,c_111,c_56]) ).
tcf(c_5719,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5531,c_109,c_56]) ).
tcf(c_5725,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5513,c_131,c_56]) ).
tcf(c_5731,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5512,c_129,c_56]) ).
tcf(c_5737,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5511,c_127,c_56]) ).
tcf(c_5743,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5510,c_125,c_56]) ).
tcf(c_5749,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5509,c_123,c_56]) ).
tcf(c_5755,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5508,c_121,c_56]) ).
tcf(c_5761,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5507,c_119,c_56]) ).
tcf(c_5767,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5506,c_117,c_56]) ).
tcf(c_5773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5505,c_115,c_56]) ).
tcf(c_5779,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5504,c_113,c_56]) ).
tcf(c_5785,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5503,c_111,c_56]) ).
tcf(c_5791,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5502,c_109,c_56]) ).
tcf(c_5797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5501,c_131,c_56]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5500,c_129,c_56]) ).
tcf(c_5809,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5499,c_127,c_56]) ).
tcf(c_5815,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5498,c_125,c_56]) ).
tcf(c_5821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5497,c_123,c_56]) ).
tcf(c_5827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5496,c_121,c_56]) ).
tcf(c_5833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5495,c_119,c_56]) ).
tcf(c_5839,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5494,c_117,c_56]) ).
tcf(c_5845,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xD,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5493,c_115,c_56]) ).
tcf(c_5851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xC,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5492,c_113,c_56]) ).
tcf(c_5857,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xB,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5491,c_111,c_56]) ).
tcf(c_5863,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5490,c_109,c_56]) ).
tcf(c_5869,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5570,c_115]) ).
tcf(c_5876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5569,c_113]) ).
tcf(c_5883,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5568,c_111]) ).
tcf(c_5890,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5567,c_109]) ).
tcf(c_5897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5566,c_131]) ).
tcf(c_5904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5565,c_129]) ).
tcf(c_5911,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5564,c_127]) ).
tcf(c_5918,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5563,c_125]) ).
tcf(c_5925,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5562,c_123]) ).
tcf(c_5932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5561,c_121]) ).
tcf(c_5939,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5560,c_119]) ).
tcf(c_5946,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5559,c_117]) ).
tcf(c_5953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,smndt0(xD)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5558,c_115]) ).
tcf(c_5960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,smndt0(xC)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5557,c_113]) ).
tcf(c_5967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,smndt0(xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5556,c_111]) ).
tcf(c_5974,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,smndt0(xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5555,c_109]) ).
tcf(c_5981,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5529,c_115]) ).
tcf(c_5988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5528,c_113]) ).
tcf(c_5995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5527,c_111]) ).
tcf(c_6002,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5526,c_109]) ).
tcf(c_6009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5525,c_131]) ).
tcf(c_6016,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5524,c_129]) ).
tcf(c_6023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5523,c_127]) ).
tcf(c_6030,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5522,c_125]) ).
tcf(c_6037,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5521,c_123]) ).
tcf(c_6044,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5520,c_121]) ).
tcf(c_6051,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5519,c_119]) ).
tcf(c_6058,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5518,c_117]) ).
tcf(c_6065,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xD))
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(smndt0(xD),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5517,c_115]) ).
tcf(c_6072,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xC))
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(smndt0(xC),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5516,c_113]) ).
tcf(c_6079,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xB))
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(smndt0(xB),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5515,c_111]) ).
tcf(c_6086,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xA))
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(smndt0(xA),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5514,c_109]) ).
tcf(c_6288,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(xA)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(superposition,[status(thm)],[c_120,c_87]) ).
tcf(c_6289,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(superposition,[status(thm)],[c_122,c_87]) ).
tcf(c_6290,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(superposition,[status(thm)],[c_2998,c_87]) ).
tcf(c_6291,plain,
! [X0: $i] :
( ( X0 = iPr_def_13 )
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1825,c_87]) ).
tcf(c_6299,plain,
! [X0: $i] :
( ( X0 = sz0z00 )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != sz0z00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6290,c_56,c_3016]) ).
tcf(c_6304,plain,
! [X0: $i] :
( ( X0 = xB )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xG ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6289,c_111]) ).
tcf(c_6310,plain,
! [X0: $i] :
( ( X0 = xA )
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(sz0z00,X0)
| ( sdtasdt0(X0,X0) != xF ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6288,c_109]) ).
tcf(c_6331,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xq)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3726,c_91]) ).
tcf(c_6332,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(superposition,[status(thm)],[c_103,c_91]) ).
tcf(c_6333,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xq))
| ( sziznziztdt0(X0) = xq )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6331,c_107]) ).
tcf(c_6339,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xt))
| ( sziznziztdt0(X0) = xt )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(xs)) != aDimensionOf0(X0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6332,c_101]) ).
tcf(c_6354,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(superposition,[status(thm)],[c_3232,c_81]) ).
tcf(c_6355,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(superposition,[status(thm)],[c_3232,c_81]) ).
tcf(c_6356,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,smndt0(xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6355,c_117]) ).
tcf(c_6363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xE))
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(smndt0(xE),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6354,c_117]) ).
tcf(c_6372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(superposition,[status(thm)],[c_3233,c_81]) ).
tcf(c_6373,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(superposition,[status(thm)],[c_3233,c_81]) ).
tcf(c_6374,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,smndt0(xF)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6373,c_119]) ).
tcf(c_6381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xF))
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(smndt0(xF),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6372,c_119]) ).
tcf(c_6390,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(superposition,[status(thm)],[c_3234,c_81]) ).
tcf(c_6391,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(superposition,[status(thm)],[c_3234,c_81]) ).
tcf(c_6392,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,smndt0(xG)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6391,c_121]) ).
tcf(c_6399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xG))
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(smndt0(xG),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6390,c_121]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(superposition,[status(thm)],[c_3235,c_81]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(superposition,[status(thm)],[c_3235,c_81]) ).
tcf(c_6410,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,smndt0(xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6409,c_123]) ).
tcf(c_6417,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xH))
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(smndt0(xH),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6408,c_123]) ).
tcf(c_6429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X3))
| sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3)) ),
inference(global_subsumption_just,[status(thm)],[c_5571,c_57,c_5571]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(renaming,[status(thm)],[c_6429]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| sdtlseqdt0(sdtpldt0(X2,X3),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_6430,c_57,c_6430]) ).
tcf(c_6432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X3))
| sdtlseqdt0(sdtpldt0(X0,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(renaming,[status(thm)],[c_6431]) ).
tcf(c_6454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_78,c_6432]) ).
tcf(c_6455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_6432]) ).
tcf(c_6456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_6432]) ).
tcf(c_6457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_83,c_6432]) ).
tcf(c_6458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X1),X4),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_6432]) ).
tcf(c_6459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_6432]) ).
tcf(c_6460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_6432]) ).
tcf(c_6461,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_6432]) ).
tcf(c_6462,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_6432]) ).
tcf(c_6463,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(xC,xD),X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_133,c_6432]) ).
tcf(c_6464,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(xR,xS),X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_134,c_6432]) ).
tcf(c_6465,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)),X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_135,c_6432]) ).
tcf(c_6466,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3016,c_6432]) ).
tcf(c_6467,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2931,c_6432]) ).
tcf(c_6468,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2930,c_6432]) ).
tcf(c_6469,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4520,c_6432]) ).
tcf(c_6470,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4515,c_6432]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4510,c_6432]) ).
tcf(c_6472,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2927,c_6432]) ).
tcf(c_6473,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2947,c_6432]) ).
tcf(c_6474,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2946,c_6432]) ).
tcf(c_6475,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_15,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2945,c_6432]) ).
tcf(c_6476,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_16,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_2944,c_6432]) ).
tcf(c_6477,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_3355,c_6432]) ).
tcf(c_6478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_6432]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4396,c_6432]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4024,c_6432]) ).
tcf(c_6481,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4016,c_6432]) ).
tcf(c_6482,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4025,c_6432]) ).
tcf(c_6483,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4396,c_6432]) ).
tcf(c_6484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_4487,c_6432]) ).
tcf(c_6485,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtasdt0(xE,xE),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4493,c_6432]) ).
tcf(c_6486,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(xP,xP),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4494,c_6432]) ).
tcf(c_6487,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtpldt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4495,c_6432]) ).
tcf(c_6495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6466,c_56]) ).
tcf(c_6520,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xN,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6482,c_131,c_56]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xS,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6481,c_129,c_56]) ).
tcf(c_6536,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6480,c_125,c_56]) ).
tcf(c_6553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_16,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6476,c_56]) ).
tcf(c_6562,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_15,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6475,c_56]) ).
tcf(c_6571,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xD,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6474,c_115,c_56]) ).
tcf(c_6579,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xC,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6473,c_113,c_56]) ).
tcf(c_6587,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6472,c_56]) ).
tcf(c_6596,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6471,c_56]) ).
tcf(c_6605,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6470,c_56]) ).
tcf(c_6614,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6469,c_56]) ).
tcf(c_6623,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xG,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6468,c_121,c_56]) ).
tcf(c_6631,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(xF,X1))
| sdtlseqdt0(sdtpldt0(sz0z00,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6467,c_119,c_56]) ).
tcf(c_6692,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6462,c_56]) ).
tcf(c_6702,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6461,c_56]) ).
tcf(c_6750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6460,c_56]) ).
tcf(c_6763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(sdtpldt0(sz0z00,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(X0,X1),X3))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6459,c_56]) ).
tcf(c_6874,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_78,c_6477]) ).
tcf(c_6875,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_6477]) ).
tcf(c_6876,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4487,c_6477]) ).
tcf(c_6877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_6477]) ).
tcf(c_6878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_6477]) ).
tcf(c_6879,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_6477]) ).
tcf(c_6880,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_6477]) ).
tcf(c_6881,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_6477]) ).
tcf(c_6882,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_6477]) ).
tcf(c_6883,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_133,c_6477]) ).
tcf(c_6884,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_134,c_6477]) ).
tcf(c_6885,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_135,c_6477]) ).
tcf(c_6886,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3016,c_6477]) ).
tcf(c_6887,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2931,c_6477]) ).
tcf(c_6888,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2930,c_6477]) ).
tcf(c_6889,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4520,c_6477]) ).
tcf(c_6890,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4515,c_6477]) ).
tcf(c_6891,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4510,c_6477]) ).
tcf(c_6892,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2927,c_6477]) ).
tcf(c_6893,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2947,c_6477]) ).
tcf(c_6894,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2946,c_6477]) ).
tcf(c_6895,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2945,c_6477]) ).
tcf(c_6896,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2944,c_6477]) ).
tcf(c_6897,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_3355,c_6477]) ).
tcf(c_6898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4487,c_6477]) ).
tcf(c_6899,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4396,c_6477]) ).
tcf(c_6900,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4024,c_6477]) ).
tcf(c_6901,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4016,c_6477]) ).
tcf(c_6902,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4025,c_6477]) ).
tcf(c_6903,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4396,c_6477]) ).
tcf(c_6904,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_4487,c_6477]) ).
tcf(c_6905,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(superposition,[status(thm)],[c_4493,c_6477]) ).
tcf(c_6906,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(superposition,[status(thm)],[c_4494,c_6477]) ).
tcf(c_6907,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_4495,c_6477]) ).
tcf(c_6912,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6886,c_56]) ).
tcf(c_6928,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6902,c_131,c_56]) ).
tcf(c_6933,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6901,c_129,c_56]) ).
tcf(c_6938,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6900,c_125,c_56]) ).
tcf(c_6949,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6896,c_56]) ).
tcf(c_6955,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6895,c_56]) ).
tcf(c_6961,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6894,c_115,c_56]) ).
tcf(c_6966,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6893,c_113,c_56]) ).
tcf(c_6971,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6892,c_56]) ).
tcf(c_6977,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6891,c_56]) ).
tcf(c_6983,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6890,c_56]) ).
tcf(c_6989,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6889,c_56]) ).
tcf(c_6995,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6888,c_121,c_56]) ).
tcf(c_7000,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6887,c_119,c_56]) ).
tcf(c_7043,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6882,c_56]) ).
tcf(c_7050,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6881,c_56]) ).
tcf(c_7083,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6880,c_56]) ).
tcf(c_7093,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6879,c_56]) ).
tcf(c_7198,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6897,c_6477]) ).
tcf(c_7199,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6897,c_6432]) ).
tcf(c_7201,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6897,c_80]) ).
tcf(c_7202,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6897,c_79]) ).
tcf(c_7242,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6874,c_6477]) ).
tcf(c_7243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6874,c_6432]) ).
tcf(c_7245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6874,c_80]) ).
tcf(c_7246,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6874,c_79]) ).
tcf(c_7295,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6899,c_6477]) ).
tcf(c_7296,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6899,c_6432]) ).
tcf(c_7298,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6899,c_80]) ).
tcf(c_7299,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6899,c_79]) ).
tcf(c_7350,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6903,c_6477]) ).
tcf(c_7351,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6903,c_6432]) ).
tcf(c_7353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6903,c_80]) ).
tcf(c_7354,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6903,c_79]) ).
tcf(c_7355,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6903,c_6477]) ).
tcf(c_7356,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6903,c_6432]) ).
tcf(c_7358,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6903,c_80]) ).
tcf(c_7359,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6903,c_79]) ).
tcf(c_7455,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7198,c_6477]) ).
tcf(c_7456,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7198,c_6432]) ).
tcf(c_7458,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7198,c_80]) ).
tcf(c_7459,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_7198,c_79]) ).
tcf(c_7533,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6875,c_6477]) ).
tcf(c_7534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6875,c_6432]) ).
tcf(c_7535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6875,c_4414]) ).
tcf(c_7536,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6875,c_80]) ).
tcf(c_7537,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6875,c_79]) ).
tcf(c_7541,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6875,c_4415]) ).
tcf(c_7542,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6875,c_4026]) ).
tcf(c_7543,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6875,c_4020]) ).
tcf(c_7544,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_6477]) ).
tcf(c_7545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X3),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_6432]) ).
tcf(c_7547,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6875,c_80]) ).
tcf(c_7548,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6875,c_79]) ).
tcf(c_7549,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_6477]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_6432]) ).
tcf(c_7552,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_80]) ).
tcf(c_7553,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6875,c_79]) ).
tcf(c_7556,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6875]) ).
tcf(c_7557,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_6875]) ).
tcf(c_7583,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7543,c_117,c_56]) ).
tcf(c_7590,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7542,c_109,c_56]) ).
tcf(c_7731,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6875,c_4798]) ).
tcf(c_7732,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4487,c_4798]) ).
tcf(c_7733,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_4798]) ).
tcf(c_7734,plain,
( sdtlseqdt0(xH,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7733,c_123,c_56]) ).
tcf(c_7738,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7732,c_123,c_56]) ).
tcf(c_7745,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7731,c_123,c_56]) ).
tcf(c_7768,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_120,c_82]) ).
tcf(c_7769,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(superposition,[status(thm)],[c_122,c_82]) ).
tcf(c_7770,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(superposition,[status(thm)],[c_124,c_82]) ).
tcf(c_7771,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(superposition,[status(thm)],[c_126,c_82]) ).
tcf(c_7772,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(superposition,[status(thm)],[c_128,c_82]) ).
tcf(c_7773,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(superposition,[status(thm)],[c_130,c_82]) ).
tcf(c_7774,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(superposition,[status(thm)],[c_132,c_82]) ).
tcf(c_7775,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_2998,c_82]) ).
tcf(c_7776,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_14,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_13)
| ~ sdtlseqdt0(iPr_def_13,X1)
| ~ sdtlseqdt0(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_1825,c_82]) ).
tcf(c_7777,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_1828,c_82]) ).
tcf(c_7778,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3000,c_82]) ).
tcf(c_7779,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3001,c_82]) ).
tcf(c_7780,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3002,c_82]) ).
tcf(c_7781,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3003,c_82]) ).
tcf(c_7782,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3004,c_82]) ).
tcf(c_7783,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3005,c_82]) ).
tcf(c_7784,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3006,c_82]) ).
tcf(c_7785,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3007,c_82]) ).
tcf(c_7786,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3008,c_82]) ).
tcf(c_7787,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3009,c_82]) ).
tcf(c_7788,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3010,c_82]) ).
tcf(c_7789,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3011,c_82]) ).
tcf(c_7790,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3023,c_82]) ).
tcf(c_7791,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3024,c_82]) ).
tcf(c_7792,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3025,c_82]) ).
tcf(c_7793,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3026,c_82]) ).
tcf(c_7794,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3027,c_82]) ).
tcf(c_7795,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3028,c_82]) ).
tcf(c_7796,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3029,c_82]) ).
tcf(c_7797,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3030,c_82]) ).
tcf(c_7798,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3031,c_82]) ).
tcf(c_7799,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3032,c_82]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3033,c_82]) ).
tcf(c_7801,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xN)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_3034,c_82]) ).
tcf(c_7802,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_120,c_82]) ).
tcf(c_7803,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(xB)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_122,c_82]) ).
tcf(c_7804,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(xB)
| ~ aScalar0(xA)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_124,c_82]) ).
tcf(c_7805,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(xG)
| ~ aScalar0(xC)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_126,c_82]) ).
tcf(c_7806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(xH)
| ~ aScalar0(xE)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_128,c_82]) ).
tcf(c_7807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(xF)
| ~ aScalar0(xD)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_130,c_82]) ).
tcf(c_7808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_132,c_82]) ).
tcf(c_7809,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_2998,c_82]) ).
tcf(c_7810,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_13)
| ~ sdtlseqdt0(X0,iPr_def_13) ),
inference(superposition,[status(thm)],[c_1825,c_82]) ).
tcf(c_7811,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_17)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_1828,c_82]) ).
tcf(c_7812,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(superposition,[status(thm)],[c_3000,c_82]) ).
tcf(c_7813,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(superposition,[status(thm)],[c_3001,c_82]) ).
tcf(c_7814,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(superposition,[status(thm)],[c_3002,c_82]) ).
tcf(c_7815,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(superposition,[status(thm)],[c_3003,c_82]) ).
tcf(c_7816,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(superposition,[status(thm)],[c_3004,c_82]) ).
tcf(c_7817,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(superposition,[status(thm)],[c_3005,c_82]) ).
tcf(c_7818,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(superposition,[status(thm)],[c_3006,c_82]) ).
tcf(c_7819,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(superposition,[status(thm)],[c_3007,c_82]) ).
tcf(c_7820,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(superposition,[status(thm)],[c_3008,c_82]) ).
tcf(c_7821,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(superposition,[status(thm)],[c_3009,c_82]) ).
tcf(c_7822,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(superposition,[status(thm)],[c_3010,c_82]) ).
tcf(c_7823,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(superposition,[status(thm)],[c_3011,c_82]) ).
tcf(c_7824,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3023,c_82]) ).
tcf(c_7825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3024,c_82]) ).
tcf(c_7826,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3025,c_82]) ).
tcf(c_7827,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3026,c_82]) ).
tcf(c_7828,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3027,c_82]) ).
tcf(c_7829,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3028,c_82]) ).
tcf(c_7830,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3029,c_82]) ).
tcf(c_7831,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3030,c_82]) ).
tcf(c_7832,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3031,c_82]) ).
tcf(c_7833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3032,c_82]) ).
tcf(c_7834,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3033,c_82]) ).
tcf(c_7835,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_3034,c_82]) ).
tcf(c_7836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_6477]) ).
tcf(c_7837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(sdtasdt0(X2,X3),X5))
| sdtlseqdt0(sdtpldt0(sdtasdt0(X0,X1),X4),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X5)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_6432]) ).
tcf(c_7838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X2,X3))
| sdtlseqdt0(sdtasdt0(X0,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_4414]) ).
tcf(c_7839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sdtlseqdt0(sdtasdt0(X3,X4),X2)
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ sdtlseqdt0(X4,X1)
| ~ sdtlseqdt0(X3,X0)
| ~ aScalar0(sdtasdt0(X3,X4))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_82,c_80]) ).
tcf(c_7840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(X3,X1)
| ~ sdtlseqdt0(X2,X0)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1))
| ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) ),
inference(superposition,[status(thm)],[c_82,c_79]) ).
tcf(c_7848,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7809,c_56]) ).
tcf(c_7855,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xG)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7803,c_111]) ).
tcf(c_7862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xF)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7802,c_109]) ).
tcf(c_7877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xG,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xB,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7769,c_111]) ).
tcf(c_7884,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xF,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7768,c_109]) ).
tcf(c_7891,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7835,c_131,c_56]) ).
tcf(c_7898,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7834,c_129,c_56]) ).
tcf(c_7905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7833,c_127,c_56]) ).
tcf(c_7912,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7832,c_125,c_56]) ).
tcf(c_7919,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7831,c_123,c_56]) ).
tcf(c_7926,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7830,c_121,c_56]) ).
tcf(c_7933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xF)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7829,c_119,c_56]) ).
tcf(c_7940,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xE)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7828,c_117,c_56]) ).
tcf(c_7947,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7827,c_115,c_56]) ).
tcf(c_7954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xC)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7826,c_113,c_56]) ).
tcf(c_7961,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7825,c_111,c_56]) ).
tcf(c_7968,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xA)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7824,c_109,c_56]) ).
tcf(c_7975,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xN) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7823,c_131,c_56]) ).
tcf(c_7982,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7822,c_129,c_56]) ).
tcf(c_7989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7821,c_127,c_56]) ).
tcf(c_7996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7820,c_125,c_56]) ).
tcf(c_8003,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7819,c_123,c_56]) ).
tcf(c_8010,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xG) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7818,c_121,c_56]) ).
tcf(c_8017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7817,c_119,c_56]) ).
tcf(c_8024,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7816,c_117,c_56]) ).
tcf(c_8031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xD) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7815,c_115,c_56]) ).
tcf(c_8038,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7814,c_113,c_56]) ).
tcf(c_8045,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7813,c_111,c_56]) ).
tcf(c_8052,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7812,c_109,c_56]) ).
tcf(c_8067,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,xR) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7808,c_129,c_125]) ).
tcf(c_8074,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xD)
| ~ sdtlseqdt0(X0,xF) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7807,c_119,c_115]) ).
tcf(c_8081,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xH)
| ~ sdtlseqdt0(X0,xE) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7806,c_123,c_117]) ).
tcf(c_8088,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xG)
| ~ sdtlseqdt0(X0,xC) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7805,c_121,c_113]) ).
tcf(c_8095,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),xH)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,xB)
| ~ sdtlseqdt0(X0,xA) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7804,c_111,c_109]) ).
tcf(c_8102,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7801,c_131,c_56,c_4025]) ).
tcf(c_8108,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7800,c_129,c_56,c_4016]) ).
tcf(c_8114,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7799,c_127,c_56]) ).
tcf(c_8121,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7798,c_125,c_56,c_4024]) ).
tcf(c_8127,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7797,c_123,c_56]) ).
tcf(c_8134,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7796,c_121,c_56,c_2930]) ).
tcf(c_8140,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7795,c_119,c_56,c_2931]) ).
tcf(c_8146,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xE)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7794,c_117,c_56]) ).
tcf(c_8153,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7793,c_115,c_56,c_2946]) ).
tcf(c_8159,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7792,c_113,c_56,c_2947]) ).
tcf(c_8165,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7791,c_111,c_56]) ).
tcf(c_8172,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xA)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7790,c_109,c_56]) ).
tcf(c_8179,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7789,c_131,c_56,c_3016]) ).
tcf(c_8185,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7788,c_129,c_56,c_3016]) ).
tcf(c_8191,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7787,c_127,c_56,c_3016]) ).
tcf(c_8197,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7786,c_125,c_56,c_3016]) ).
tcf(c_8203,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7785,c_123,c_56,c_3016]) ).
tcf(c_8209,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7784,c_121,c_56,c_3016]) ).
tcf(c_8215,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7783,c_119,c_56,c_3016]) ).
tcf(c_8221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xE,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7782,c_117,c_56,c_3016]) ).
tcf(c_8227,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xD,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7781,c_115,c_56,c_3016]) ).
tcf(c_8233,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xC,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7780,c_113,c_56,c_3016]) ).
tcf(c_8239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7779,c_111,c_56,c_3016]) ).
tcf(c_8245,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xA,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7778,c_109,c_56,c_3016]) ).
tcf(c_8251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7777,c_2944]) ).
tcf(c_8259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xN,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(xR,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7774,c_129,c_125,c_4016]) ).
tcf(c_8265,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xS,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xF,X1)
| ~ sdtlseqdt0(xD,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7773,c_119,c_115,c_2946]) ).
tcf(c_8271,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xP,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ sdtlseqdt0(xH,X1)
| ~ sdtlseqdt0(xE,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7772,c_123,c_117]) ).
tcf(c_8278,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xR,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(xG,X1)
| ~ sdtlseqdt0(xC,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7771,c_121,c_113,c_2930]) ).
tcf(c_8284,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xH,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ sdtlseqdt0(xB,X1)
| ~ sdtlseqdt0(xA,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7770,c_111,c_109]) ).
tcf(c_8592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sz0z00,X1),sdtasdt0(sz0z00,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sz0z00,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_56,c_74]) ).
tcf(c_8593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(sdtpldt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_57,c_74]) ).
tcf(c_8594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(sdtasdt0(X0,X1),X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4))) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),sdtpldt0(X3,X4)) )
| ~ aScalar0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_58,c_74]) ).
tcf(c_8595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(smndt0(X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(smndt0(X0),X1),sdtpldt0(X2,X3)) )
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_59,c_74]) ).
tcf(c_8596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtlbdtrb0(X4,X0),X2),sdtasdt0(sdtlbdtrb0(X4,X0),X3)),sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))) = sdtasdt0(sdtpldt0(sdtlbdtrb0(X4,X0),X1),sdtpldt0(X2,X3)) )
| ~ aVector0(X4)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[status(thm)],[c_89,c_74]) ).
tcf(c_8597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xA,X1),sdtasdt0(xA,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xA,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_109,c_74]) ).
tcf(c_8598,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xB,X1),sdtasdt0(xB,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xB,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_111,c_74]) ).
tcf(c_8599,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xC,X1),sdtasdt0(xC,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xC,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_113,c_74]) ).
tcf(c_8600,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xD,X1),sdtasdt0(xD,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xD,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_115,c_74]) ).
tcf(c_8601,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),sdtasdt0(xE,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xE,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_117,c_74]) ).
tcf(c_8602,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xF,X1),sdtasdt0(xF,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xF,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_119,c_74]) ).
tcf(c_8603,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xG,X1),sdtasdt0(xG,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xG,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_121,c_74]) ).
tcf(c_8604,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xH,X1),sdtasdt0(xH,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xH,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_123,c_74]) ).
tcf(c_8605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xR,X1),sdtasdt0(xR,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xR,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_125,c_74]) ).
tcf(c_8606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xP,X1),sdtasdt0(xP,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xP,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_127,c_74]) ).
tcf(c_8607,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xS,X1),sdtasdt0(xS,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xS,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_129,c_74]) ).
tcf(c_8608,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xN,X1),sdtasdt0(xN,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(xN,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_131,c_74]) ).
tcf(c_8751,plain,
! [X0: $i] :
( ( sziznziztdt0(X0) = X0 )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( szszuzczcdt0(aDimensionOf0(X0)) != aDimensionOf0(X0) ) ),
inference(equality_resolution,[status(thm)],[c_90]) ).
tcf(c_8767,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_98]) ).
tcf(c_8768,plain,
! [X0: $i] :
( ( aDimensionOf0(xt) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_103,c_98]) ).
tcf(c_8769,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),sziznziztdt0(X0)),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(equality_resolution,[status(thm)],[c_98]) ).
tcf(c_8773,plain,
! [X0: $i] :
( ( aDimensionOf0(xs) = sz00 )
| ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_8768,c_103,c_108,c_635]) ).
tcf(c_8774,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(sziznziztdt0(X0),xq),sdtasdt0(sdtlbdtrb0(X0,aDimensionOf0(X0)),xB)) = sdtasasdt0(X0,xt) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8773,c_104,c_101]) ).
tcf(c_8778,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(xt)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(light_normalisation,[status(thm)],[c_8767,c_103,c_108,c_635]) ).
tcf(c_8779,plain,
! [X0: $i] :
( ( aDimensionOf0(X0) = sz00 )
| ( sdtpldt0(sdtasasdt0(xq,sziznziztdt0(X0)),sdtasdt0(xB,sdtlbdtrb0(X0,aDimensionOf0(X0)))) = sdtasasdt0(xt,X0) )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8778,c_101]) ).
tcf(c_8806,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(superposition,[status(thm)],[c_3236,c_81]) ).
tcf(c_8807,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(superposition,[status(thm)],[c_3236,c_81]) ).
tcf(c_8808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X0,smndt0(xR)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8807,c_125]) ).
tcf(c_8815,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xR))
| ~ sdtlseqdt0(xR,X1)
| ~ sdtlseqdt0(smndt0(xR),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8806,c_125]) ).
tcf(c_8824,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(superposition,[status(thm)],[c_3237,c_81]) ).
tcf(c_8825,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xP)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(superposition,[status(thm)],[c_3237,c_81]) ).
tcf(c_8826,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(X1,xP)
| ~ sdtlseqdt0(X0,smndt0(xP)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8825,c_127]) ).
tcf(c_8833,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xP))
| ~ sdtlseqdt0(xP,X1)
| ~ sdtlseqdt0(smndt0(xP),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8824,c_127]) ).
tcf(c_8842,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(superposition,[status(thm)],[c_3238,c_81]) ).
tcf(c_8843,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(superposition,[status(thm)],[c_3238,c_81]) ).
tcf(c_8844,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X0,smndt0(xS)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8843,c_129]) ).
tcf(c_8851,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xS))
| ~ sdtlseqdt0(xS,X1)
| ~ sdtlseqdt0(smndt0(xS),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8842,c_129]) ).
tcf(c_8860,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(superposition,[status(thm)],[c_3239,c_81]) ).
tcf(c_8861,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(xN)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(superposition,[status(thm)],[c_3239,c_81]) ).
tcf(c_8862,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(X1,xN)
| ~ sdtlseqdt0(X0,smndt0(xN)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8861,c_131]) ).
tcf(c_8869,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(xN))
| ~ sdtlseqdt0(xN,X1)
| ~ sdtlseqdt0(smndt0(xN),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8860,c_131]) ).
tcf(c_8892,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_6477]) ).
tcf(c_8893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X3),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_6432]) ).
tcf(c_8895,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6876,c_80]) ).
tcf(c_8896,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6876,c_79]) ).
tcf(c_8897,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_6477]) ).
tcf(c_8898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_6432]) ).
tcf(c_8900,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_80]) ).
tcf(c_8901,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6876,c_79]) ).
tcf(c_9013,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6898,c_6477]) ).
tcf(c_9014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6898,c_6432]) ).
tcf(c_9016,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6898,c_80]) ).
tcf(c_9017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_6898,c_79]) ).
tcf(c_9019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6898,c_6477]) ).
tcf(c_9020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6898,c_6432]) ).
tcf(c_9021,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6898,c_4414]) ).
tcf(c_9022,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6898,c_80]) ).
tcf(c_9023,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6898,c_79]) ).
tcf(c_9027,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6898,c_4415]) ).
tcf(c_9028,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6898,c_4026]) ).
tcf(c_9029,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6898,c_4020]) ).
tcf(c_9030,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6898,c_4798]) ).
tcf(c_9031,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6898,c_6477]) ).
tcf(c_9032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,X0),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6898,c_6432]) ).
tcf(c_9034,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6898,c_80]) ).
tcf(c_9035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_6898,c_79]) ).
tcf(c_9038,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_6898]) ).
tcf(c_9054,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9030,c_123,c_56]) ).
tcf(c_9071,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9029,c_117,c_56]) ).
tcf(c_9079,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9028,c_109,c_56]) ).
tcf(c_9293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6904,c_6432]) ).
tcf(c_9295,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6904,c_80]) ).
tcf(c_9296,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6904,c_79]) ).
tcf(c_9297,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6904,c_4416]) ).
tcf(c_9299,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6904,c_6477]) ).
tcf(c_9300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6904,c_6432]) ).
tcf(c_9301,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_6904,c_4414]) ).
tcf(c_9302,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6904,c_80]) ).
tcf(c_9303,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_6904,c_79]) ).
tcf(c_9308,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_6904,c_4026]) ).
tcf(c_9309,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_6904,c_4020]) ).
tcf(c_9310,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6904,c_4798]) ).
tcf(c_9311,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6904,c_6477]) ).
tcf(c_9312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X3,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X3))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6904,c_6432]) ).
tcf(c_9314,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6904,c_80]) ).
tcf(c_9315,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6904,c_79]) ).
tcf(c_9316,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6904,c_6477]) ).
tcf(c_9317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,X0),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6904,c_6432]) ).
tcf(c_9318,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_6904,c_4414]) ).
tcf(c_9319,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_6904,c_80]) ).
tcf(c_9320,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_6904,c_79]) ).
tcf(c_9326,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(X0,sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6904]) ).
tcf(c_9327,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6904]) ).
tcf(c_9328,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_14,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_6904]) ).
tcf(c_9348,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9310,c_123,c_56]) ).
tcf(c_9374,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9309,c_117,c_56]) ).
tcf(c_9382,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9308,c_109,c_56]) ).
tcf(c_9703,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7201,c_6477]) ).
tcf(c_9704,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X2,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,iPr_def_17),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7201,c_6432]) ).
tcf(c_9706,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7201,c_80]) ).
tcf(c_9707,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = X0 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(X0,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_7201,c_79]) ).
tcf(c_9764,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_6875,c_7202]) ).
tcf(c_9766,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_83,c_7202]) ).
tcf(c_9786,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7295,c_57]) ).
tcf(c_9805,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9786,c_6477]) ).
tcf(c_9806,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9786,c_6432]) ).
tcf(c_9808,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9786,c_80]) ).
tcf(c_9809,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_9786,c_79]) ).
tcf(c_9855,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7355,c_57]) ).
tcf(c_9874,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_9855,c_6477]) ).
tcf(c_9875,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_9855,c_6432]) ).
tcf(c_9877,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_9855,c_80]) ).
tcf(c_9878,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_9855,c_79]) ).
tcf(c_9953,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6904,c_5438]) ).
tcf(c_9954,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6898,c_5438]) ).
tcf(c_9955,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_6875,c_5438]) ).
tcf(c_9956,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4487,c_5438]) ).
tcf(c_9957,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_83,c_5438]) ).
tcf(c_9958,plain,
( sdtlseqdt0(xB,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9957,c_111,c_56]) ).
tcf(c_9962,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9956,c_111,c_56]) ).
tcf(c_9969,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9955,c_111,c_56]) ).
tcf(c_9976,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9954,c_111,c_56]) ).
tcf(c_9984,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9953,c_111,c_56]) ).
tcf(c_9995,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(xp))
| ( szszuzczcdt0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3728,c_54]) ).
tcf(c_9996,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(xp)
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(superposition,[status(thm)],[c_3728,c_91]) ).
tcf(c_10001,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,xp))
| ( sziznziztdt0(X0) = xp )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ( aDimensionOf0(X0) != aDimensionOf0(xs) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9996,c_105]) ).
tcf(c_10015,plain,
( aScalar0(iPr_def_15)
| ~ aVector0(xs) ),
inference(superposition,[status(thm)],[c_1826,c_3774]) ).
tcf(c_10016,plain,
( aScalar0(iPr_def_16)
| ~ aVector0(xt) ),
inference(superposition,[status(thm)],[c_1827,c_3774]) ).
tcf(c_10017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(sdtasasdt0(X3,X3),X1),sdtasdt0(sdtasasdt0(X3,X3),X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(sdtasasdt0(X3,X3),X0),sdtpldt0(X1,X2)) )
| ~ aVector0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_74]) ).
tcf(c_10018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_73]) ).
tcf(c_10019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(sdtasasdt0(X2,X2),X0),sdtasdt0(sdtasasdt0(X2,X2),X1)) = sdtasdt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_72]) ).
tcf(c_10020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(sdtasasdt0(X2,X2),X0),X1) = sdtasdt0(sdtasasdt0(X2,X2),sdtasdt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_70]) ).
tcf(c_10021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasasdt0(X2,X2),X0),X1) = sdtpldt0(sdtasasdt0(X2,X2),sdtpldt0(X0,X1)) )
| ~ aVector0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_68]) ).
tcf(c_10022,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),smndt0(X0)) = sdtasdt0(sdtasasdt0(X1,X1),X0) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_77]) ).
tcf(c_10023,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasasdt0(X1,X1)),X0) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_76]) ).
tcf(c_10024,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasasdt0(X1,X1),smndt0(X0)) = smndt0(sdtasdt0(sdtasasdt0(X1,X1),X0)) )
| ~ aVector0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_75]) ).
tcf(c_10025,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(sdtasasdt0(X0,X0)),sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_65]) ).
tcf(c_10026,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),smndt0(sdtasasdt0(X0,X0))) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_64]) ).
tcf(c_10027,plain,
! [X0: $i] :
( ( smndt0(smndt0(sdtasasdt0(X0,X0))) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_66]) ).
tcf(c_10028,plain,
! [X0: $i] :
( ( sdtasdt0(sz0z00,sdtasasdt0(X0,X0)) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_63]) ).
tcf(c_10029,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasasdt0(X0,X0),sz0z00) = sz0z00 )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_62]) ).
tcf(c_10030,plain,
! [X0: $i] :
( ( sdtpldt0(sz0z00,sdtasasdt0(X0,X0)) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_61]) ).
tcf(c_10031,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasasdt0(X0,X0),sz0z00) = sdtasasdt0(X0,X0) )
| ~ aVector0(X0) ),
inference(superposition,[status(thm)],[c_3774,c_60]) ).
tcf(c_10032,plain,
aScalar0(iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_10016,c_101]) ).
tcf(c_10033,plain,
aScalar0(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_10015,c_100]) ).
tcf(c_10093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_16,X1),sdtasdt0(iPr_def_16,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_16,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_74]) ).
tcf(c_10094,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_16,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_16,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_73]) ).
tcf(c_10095,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_16,X0),sdtasdt0(iPr_def_16,X1)) = sdtasdt0(iPr_def_16,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_72]) ).
tcf(c_10096,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_16,X0),X1) = sdtasdt0(iPr_def_16,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_70]) ).
tcf(c_10097,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_16,X0),X1) = sdtpldt0(iPr_def_16,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_68]) ).
tcf(c_10098,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_16),smndt0(X0)) = sdtasdt0(iPr_def_16,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_77]) ).
tcf(c_10099,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_16),X0) = smndt0(sdtasdt0(iPr_def_16,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_76]) ).
tcf(c_10100,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_16,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_16,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10032,c_75]) ).
tcf(c_10101,plain,
sdtpldt0(smndt0(iPr_def_16),iPr_def_16) = sz0z00,
inference(superposition,[status(thm)],[c_10032,c_65]) ).
tcf(c_10102,plain,
sdtpldt0(iPr_def_16,smndt0(iPr_def_16)) = sz0z00,
inference(superposition,[status(thm)],[c_10032,c_64]) ).
tcf(c_10103,plain,
smndt0(smndt0(iPr_def_16)) = iPr_def_16,
inference(superposition,[status(thm)],[c_10032,c_66]) ).
tcf(c_10104,plain,
sdtasdt0(sz0z00,iPr_def_16) = sz0z00,
inference(superposition,[status(thm)],[c_10032,c_63]) ).
tcf(c_10105,plain,
sdtasdt0(iPr_def_16,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10032,c_62]) ).
tcf(c_10106,plain,
sdtpldt0(sz0z00,iPr_def_16) = iPr_def_16,
inference(superposition,[status(thm)],[c_10032,c_61]) ).
tcf(c_10107,plain,
sdtpldt0(iPr_def_16,sz0z00) = iPr_def_16,
inference(superposition,[status(thm)],[c_10032,c_60]) ).
tcf(c_10180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_15,X1),sdtasdt0(iPr_def_15,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_15,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_74]) ).
tcf(c_10181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_15,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_15,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_73]) ).
tcf(c_10182,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_15,X0),sdtasdt0(iPr_def_15,X1)) = sdtasdt0(iPr_def_15,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_72]) ).
tcf(c_10183,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_15,X0),X1) = sdtasdt0(iPr_def_15,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_70]) ).
tcf(c_10184,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_15,X0),X1) = sdtpldt0(iPr_def_15,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_68]) ).
tcf(c_10185,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_15),smndt0(X0)) = sdtasdt0(iPr_def_15,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_77]) ).
tcf(c_10186,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_15),X0) = smndt0(sdtasdt0(iPr_def_15,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_76]) ).
tcf(c_10187,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_15,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_15,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_10033,c_75]) ).
tcf(c_10188,plain,
sdtpldt0(smndt0(iPr_def_15),iPr_def_15) = sz0z00,
inference(superposition,[status(thm)],[c_10033,c_65]) ).
tcf(c_10189,plain,
sdtpldt0(iPr_def_15,smndt0(iPr_def_15)) = sz0z00,
inference(superposition,[status(thm)],[c_10033,c_64]) ).
tcf(c_10190,plain,
smndt0(smndt0(iPr_def_15)) = iPr_def_15,
inference(superposition,[status(thm)],[c_10033,c_66]) ).
tcf(c_10191,plain,
sdtasdt0(sz0z00,iPr_def_15) = sz0z00,
inference(superposition,[status(thm)],[c_10033,c_63]) ).
tcf(c_10192,plain,
sdtasdt0(iPr_def_15,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_10033,c_62]) ).
tcf(c_10193,plain,
sdtpldt0(sz0z00,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_10033,c_61]) ).
tcf(c_10194,plain,
sdtpldt0(iPr_def_15,sz0z00) = iPr_def_15,
inference(superposition,[status(thm)],[c_10033,c_60]) ).
tcf(c_10240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_16)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10104,c_82]) ).
tcf(c_10241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10104,c_82]) ).
tcf(c_10242,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10241,c_10032,c_56]) ).
tcf(c_10249,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10240,c_10032,c_56,c_2944]) ).
tcf(c_10258,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10105,c_82]) ).
tcf(c_10259,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10105,c_82]) ).
tcf(c_10260,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10259,c_10032,c_56]) ).
tcf(c_10267,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10258,c_10032,c_56,c_3016]) ).
tcf(c_10275,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10106,c_81]) ).
tcf(c_10276,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10106,c_81]) ).
tcf(c_10277,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10276,c_10032,c_56]) ).
tcf(c_10283,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10275,c_10032,c_56]) ).
tcf(c_10297,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6883,c_3135,c_6883,c_10033,c_10032]) ).
tcf(c_10298,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(renaming,[status(thm)],[c_10297]) ).
tcf(c_10309,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10298,c_6477]) ).
tcf(c_10310,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10298,c_6432]) ).
tcf(c_10312,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10298,c_80]) ).
tcf(c_10313,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| ( sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10298,c_79]) ).
tcf(c_10411,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6884,c_3135,c_6884,c_10033,c_10032]) ).
tcf(c_10412,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(renaming,[status(thm)],[c_10411]) ).
tcf(c_10423,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10412,c_6477]) ).
tcf(c_10424,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10412,c_6432]) ).
tcf(c_10426,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10412,c_80]) ).
tcf(c_10427,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| ( sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10412,c_79]) ).
tcf(c_10470,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7242,c_3135,c_7242,c_10033,c_10032]) ).
tcf(c_10471,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_10470]) ).
tcf(c_10485,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10471,c_6477]) ).
tcf(c_10486,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10471,c_6432]) ).
tcf(c_10488,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10471,c_80]) ).
tcf(c_10489,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10471,c_79]) ).
tcf(c_10537,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7455,c_3135,c_7455,c_10033,c_10032]) ).
tcf(c_10538,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(renaming,[status(thm)],[c_10537]) ).
tcf(c_10549,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10538,c_6477]) ).
tcf(c_10550,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10538,c_6432]) ).
tcf(c_10552,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10538,c_80]) ).
tcf(c_10553,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10538,c_79]) ).
tcf(c_10589,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_7533,c_3135,c_6874,c_10033,c_10032]) ).
tcf(c_10590,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_10589]) ).
tcf(c_10602,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10590,c_4414]) ).
tcf(c_10603,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10590,c_80]) ).
tcf(c_10604,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_10590,c_79]) ).
tcf(c_10635,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6905,c_3135,c_6905,c_10033,c_10032]) ).
tcf(c_10636,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(renaming,[status(thm)],[c_10635]) ).
tcf(c_10649,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10636,c_6477]) ).
tcf(c_10650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10636,c_6432]) ).
tcf(c_10652,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10636,c_80]) ).
tcf(c_10653,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10636,c_79]) ).
tcf(c_10773,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_6906,c_3135,c_6906,c_10033,c_10032]) ).
tcf(c_10774,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(renaming,[status(thm)],[c_10773]) ).
tcf(c_10787,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10774,c_6477]) ).
tcf(c_10788,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10774,c_6432]) ).
tcf(c_10790,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10774,c_80]) ).
tcf(c_10791,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| ( sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10774,c_79]) ).
tcf(c_10831,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9805,c_3135,c_9805,c_10033,c_10032]) ).
tcf(c_10832,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(renaming,[status(thm)],[c_10831]) ).
tcf(c_10846,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10832,c_6477]) ).
tcf(c_10847,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10832,c_6432]) ).
tcf(c_10849,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10832,c_80]) ).
tcf(c_10850,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10832,c_79]) ).
tcf(c_10905,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_7734,c_6432]) ).
tcf(c_10907,plain,
! [X0: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_7734,c_80]) ).
tcf(c_10908,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_7734,c_79]) ).
tcf(c_10909,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| ( sz0z00 = xH )
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10908,c_123,c_56]) ).
tcf(c_10914,plain,
! [X0: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xH,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10907,c_123,c_56]) ).
tcf(c_10920,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xH,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10905,c_123,c_56]) ).
tcf(c_10933,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10107,c_81]) ).
tcf(c_10934,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(superposition,[status(thm)],[c_10107,c_81]) ).
tcf(c_10935,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_10032,c_56]) ).
tcf(c_10941,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_16,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10933,c_10032,c_56]) ).
tcf(c_10958,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_15)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10191,c_82]) ).
tcf(c_10959,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10191,c_82]) ).
tcf(c_10960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10959,c_10033,c_56]) ).
tcf(c_10967,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10958,c_10033,c_56,c_2945]) ).
tcf(c_10976,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10192,c_82]) ).
tcf(c_10977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10192,c_82]) ).
tcf(c_10978,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10977,c_10033,c_56]) ).
tcf(c_10985,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10976,c_10033,c_56,c_3016]) ).
tcf(c_10993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10193,c_81]) ).
tcf(c_10994,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_10193,c_81]) ).
tcf(c_10995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10994,c_10033,c_56]) ).
tcf(c_11001,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10993,c_10033,c_56]) ).
tcf(c_11017,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_10194,c_81]) ).
tcf(c_11018,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_10194,c_81]) ).
tcf(c_11019,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11018,c_10033,c_56]) ).
tcf(c_11025,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_15,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11017,c_10033,c_56]) ).
tcf(c_11033,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_10101,c_81]) ).
tcf(c_11034,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10101,c_81]) ).
tcf(c_11035,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11034,c_10032]) ).
tcf(c_11042,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11033,c_10032]) ).
tcf(c_11053,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(superposition,[status(thm)],[c_10102,c_81]) ).
tcf(c_11054,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10102,c_81]) ).
tcf(c_11055,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(X1,iPr_def_16)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11054,c_10032]) ).
tcf(c_11062,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_16))
| ~ sdtlseqdt0(iPr_def_16,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_16),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11053,c_10032]) ).
tcf(c_11069,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9874,c_3135,c_9874,c_10033,c_10032]) ).
tcf(c_11070,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(renaming,[status(thm)],[c_11069]) ).
tcf(c_11084,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_11070,c_6477]) ).
tcf(c_11085,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))) ),
inference(superposition,[status(thm)],[c_11070,c_6432]) ).
tcf(c_11087,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),X1) ),
inference(superposition,[status(thm)],[c_11070,c_80]) ).
tcf(c_11088,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11070,c_79]) ).
tcf(c_11137,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_7350,c_3135,c_7198,c_10033,c_10032]) ).
tcf(c_11138,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(renaming,[status(thm)],[c_11137]) ).
tcf(c_11149,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11138,c_4414]) ).
tcf(c_11150,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11138,c_80]) ).
tcf(c_11151,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11138,c_79]) ).
tcf(c_11173,plain,
( ~ aScalar0(iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_9013,c_3135,c_6897,c_10033,c_10032]) ).
tcf(c_11174,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(renaming,[status(thm)],[c_11173]) ).
tcf(c_11183,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11174,c_4414]) ).
tcf(c_11184,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11174,c_80]) ).
tcf(c_11185,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11174,c_79]) ).
tcf(c_11212,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9031,c_3135,c_9031,c_10033,c_10032]) ).
tcf(c_11213,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_11212]) ).
tcf(c_11230,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_6477]) ).
tcf(c_11231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_6432]) ).
tcf(c_11233,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_80]) ).
tcf(c_11234,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X1 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_79]) ).
tcf(c_11236,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_6477]) ).
tcf(c_11237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X2))
| sdtlseqdt0(sdtpldt0(X3,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_6432]) ).
tcf(c_11238,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_4414]) ).
tcf(c_11239,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_80]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_79]) ).
tcf(c_11241,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11213,c_1829]) ).
tcf(c_11244,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11213,c_4415]) ).
tcf(c_11245,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(superposition,[status(thm)],[c_11213,c_4026]) ).
tcf(c_11246,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(superposition,[status(thm)],[c_11213,c_5438]) ).
tcf(c_11247,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(superposition,[status(thm)],[c_11213,c_4020]) ).
tcf(c_11248,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(superposition,[status(thm)],[c_11213,c_4798]) ).
tcf(c_11249,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))),iPr_def_14)
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_11213,c_7202]) ).
tcf(c_11250,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11213,c_6477]) ).
tcf(c_11251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,X3)
| sdtlseqdt0(X3,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11213,c_6432]) ).
tcf(c_11253,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X2)
| sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11213,c_80]) ).
tcf(c_11254,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11213,c_79]) ).
tcf(c_11255,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_17)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(equality_factoring,[status(thm)],[c_11213]) ).
tcf(c_11257,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_11213]) ).
tcf(c_11277,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11248,c_123,c_56]) ).
tcf(c_11285,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11246,c_111,c_56]) ).
tcf(c_11293,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11247,c_117,c_56]) ).
tcf(c_11301,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11245,c_109,c_56]) ).
tcf(c_11486,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_11241,c_1829,c_3135,c_3201,c_10033,c_10032]) ).
tcf(c_11497,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_9299,c_3135,c_6903,c_10033,c_10032]) ).
tcf(c_11498,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(renaming,[status(thm)],[c_11497]) ).
tcf(c_11512,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11498,c_4414]) ).
tcf(c_11513,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11498,c_80]) ).
tcf(c_11514,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11498,c_79]) ).
tcf(c_11517,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_11498,c_4414]) ).
tcf(c_11618,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_9316,c_3135,c_9316,c_10033,c_10032]) ).
tcf(c_11619,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(renaming,[status(thm)],[c_11618]) ).
tcf(c_11628,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11619,c_57]) ).
tcf(c_11650,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_6477]) ).
tcf(c_11651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X2,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(X3,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11628,c_6432]) ).
tcf(c_11652,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_4414]) ).
tcf(c_11653,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_11628,c_80]) ).
tcf(c_11654,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_11628,c_79]) ).
tcf(c_11657,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_6477]) ).
tcf(c_11658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(X3,X1))
| sdtlseqdt0(sdtpldt0(X2,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11628,c_6432]) ).
tcf(c_11659,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_4414]) ).
tcf(c_11660,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11628,c_80]) ).
tcf(c_11661,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_11628,c_79]) ).
tcf(c_11662,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_11628,c_1829]) ).
tcf(c_11663,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_4416]) ).
tcf(c_11664,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_4070]) ).
tcf(c_11665,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_4415]) ).
tcf(c_11666,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_11628,c_4026]) ).
tcf(c_11667,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11628,c_5438]) ).
tcf(c_11668,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_11628,c_4020]) ).
tcf(c_11669,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11628,c_4798]) ).
tcf(c_11670,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ( sdtpldt0(iPr_def_17,iPr_def_17) = iPr_def_14 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11628,c_7202]) ).
tcf(c_11671,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_11628,c_6477]) ).
tcf(c_11672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(X3,iPr_def_14)
| sdtlseqdt0(X0,X3)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X2))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_11628,c_6432]) ).
tcf(c_11674,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X2,iPr_def_14)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_11628,c_80]) ).
tcf(c_11675,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_11628,c_79]) ).
tcf(c_11676,plain,
( sdtlseqdt0(iPr_def_14,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14) ),
inference(equality_factoring,[status(thm)],[c_11628]) ).
tcf(c_11678,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_11628]) ).
tcf(c_11696,plain,
( sdtlseqdt0(xH,iPr_def_14)
| sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11669,c_123,c_56]) ).
tcf(c_11703,plain,
( sdtlseqdt0(xB,iPr_def_14)
| sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11667,c_111,c_56]) ).
tcf(c_11710,plain,
( sdtlseqdt0(xE,iPr_def_14)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11668,c_117,c_56]) ).
tcf(c_11717,plain,
( sdtlseqdt0(xA,iPr_def_14)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11666,c_109,c_56]) ).
tcf(c_11917,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_9958,c_6432]) ).
tcf(c_11919,plain,
! [X0: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_9958,c_80]) ).
tcf(c_11920,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_9958,c_79]) ).
tcf(c_11921,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| ( sz0z00 = xB )
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11920,c_111,c_56]) ).
tcf(c_11926,plain,
! [X0: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(xB,X0)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11919,c_111,c_56]) ).
tcf(c_11932,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(sz0z00,X1))
| sdtlseqdt0(sdtpldt0(xB,X0),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11917,c_111,c_56]) ).
tcf(c_11951,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_10188,c_81]) ).
tcf(c_11952,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10188,c_81]) ).
tcf(c_11953,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11952,c_10033]) ).
tcf(c_11960,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11951,c_10033]) ).
tcf(c_11971,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(superposition,[status(thm)],[c_10189,c_81]) ).
tcf(c_11972,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_10189,c_81]) ).
tcf(c_11973,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(X1,iPr_def_15)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11972,c_10033]) ).
tcf(c_11980,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_15))
| ~ sdtlseqdt0(iPr_def_15,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_15),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11971,c_10033]) ).
tcf(c_11987,plain,
aScalar0(iPr_def_17),
inference(global_subsumption_just,[status(thm)],[c_3135,c_3135,c_10033,c_10032]) ).
tcf(c_11989,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9855,c_11987]) ).
tcf(c_11990,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_9786,c_11987]) ).
tcf(c_11993,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6904,c_11987]) ).
tcf(c_11994,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6899,c_11987]) ).
tcf(c_11995,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6898,c_11987]) ).
tcf(c_11996,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6876,c_11987]) ).
tcf(c_11997,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6875,c_11987]) ).
tcf(c_11998,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6477,c_11987]) ).
tcf(c_11999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X3))
| sdtlseqdt0(sdtpldt0(X0,X2),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X2,X3)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6432,c_11987]) ).
tcf(c_12000,plain,
( sdtlseqdt0(iPr_def_17,xS)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4520,c_11987]) ).
tcf(c_12001,plain,
( sdtlseqdt0(iPr_def_17,xN)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4515,c_11987]) ).
tcf(c_12002,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(sz0z00,iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4510,c_11987]) ).
tcf(c_12003,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))
| sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4495,c_11987]) ).
tcf(c_12004,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(xP,xP),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4494,c_11987]) ).
tcf(c_12005,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(sdtasdt0(xE,xE),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4493,c_11987]) ).
tcf(c_12006,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4487,c_11987]) ).
tcf(c_12007,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4416,c_11987]) ).
tcf(c_12008,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| ( X0 = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4415,c_11987]) ).
tcf(c_12009,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4414,c_11987]) ).
tcf(c_12010,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4396,c_11987]) ).
tcf(c_12011,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4070,c_11987]) ).
tcf(c_12131,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(iPr_def_17,X1),sdtasdt0(iPr_def_17,X2)),sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))) = sdtasdt0(sdtpldt0(iPr_def_17,X0),sdtpldt0(X1,X2)) )
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_74]) ).
tcf(c_12132,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_17,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(iPr_def_17,X0),X1) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_73]) ).
tcf(c_12133,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(iPr_def_17,X0),sdtasdt0(iPr_def_17,X1)) = sdtasdt0(iPr_def_17,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_72]) ).
tcf(c_12134,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(iPr_def_17,X0),X1) = sdtasdt0(iPr_def_17,sdtasdt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_70]) ).
tcf(c_12135,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(iPr_def_17,X0),X1) = sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)) )
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_68]) ).
tcf(c_12136,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_17),smndt0(X0)) = sdtasdt0(iPr_def_17,X0) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_77]) ).
tcf(c_12137,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(iPr_def_17),X0) = smndt0(sdtasdt0(iPr_def_17,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_76]) ).
tcf(c_12138,plain,
! [X0: $i] :
( ( sdtasdt0(iPr_def_17,smndt0(X0)) = smndt0(sdtasdt0(iPr_def_17,X0)) )
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11987,c_75]) ).
tcf(c_12139,plain,
sdtpldt0(smndt0(iPr_def_17),iPr_def_17) = sz0z00,
inference(superposition,[status(thm)],[c_11987,c_65]) ).
tcf(c_12140,plain,
sdtpldt0(iPr_def_17,smndt0(iPr_def_17)) = sz0z00,
inference(superposition,[status(thm)],[c_11987,c_64]) ).
tcf(c_12141,plain,
smndt0(smndt0(iPr_def_17)) = iPr_def_17,
inference(superposition,[status(thm)],[c_11987,c_66]) ).
tcf(c_12142,plain,
sdtasdt0(sz0z00,iPr_def_17) = sz0z00,
inference(superposition,[status(thm)],[c_11987,c_63]) ).
tcf(c_12143,plain,
sdtasdt0(iPr_def_17,sz0z00) = sz0z00,
inference(superposition,[status(thm)],[c_11987,c_62]) ).
tcf(c_12144,plain,
sdtpldt0(sz0z00,iPr_def_17) = iPr_def_17,
inference(superposition,[status(thm)],[c_11987,c_61]) ).
tcf(c_12145,plain,
sdtpldt0(iPr_def_17,sz0z00) = iPr_def_17,
inference(superposition,[status(thm)],[c_11987,c_60]) ).
tcf(c_12344,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_17)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12142,c_82]) ).
tcf(c_12345,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_12142,c_82]) ).
tcf(c_12346,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12345,c_11987,c_56]) ).
tcf(c_12353,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,iPr_def_17)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12344,c_11987,c_56]) ).
tcf(c_12363,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12143,c_82]) ).
tcf(c_12364,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_12143,c_82]) ).
tcf(c_12365,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtasdt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12364,c_11987,c_56]) ).
tcf(c_12372,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12363,c_11987,c_56,c_3016]) ).
tcf(c_12380,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12144,c_81]) ).
tcf(c_12381,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(superposition,[status(thm)],[c_12144,c_81]) ).
tcf(c_12382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,sz0z00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12381,c_11987,c_56]) ).
tcf(c_12388,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12380,c_11987,c_56]) ).
tcf(c_12398,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(superposition,[status(thm)],[c_12145,c_81]) ).
tcf(c_12399,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_17)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(superposition,[status(thm)],[c_12145,c_81]) ).
tcf(c_12401,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00))) ),
inference(superposition,[status(thm)],[c_12145,c_10832]) ).
tcf(c_12402,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12145,c_10590]) ).
tcf(c_12403,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_12145,c_10471]) ).
tcf(c_12404,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12402,c_56]) ).
tcf(c_12408,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X0,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12399,c_11987,c_56]) ).
tcf(c_12414,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(sz0z00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12398,c_11987,c_56]) ).
tcf(c_12420,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12403,c_12145]) ).
tcf(c_12421,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12420,c_11987,c_56]) ).
tcf(c_12426,plain,
( sdtlseqdt0(iPr_def_17,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(light_normalisation,[status(thm)],[c_12401,c_12145]) ).
tcf(c_12508,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_12011]) ).
tcf(c_12532,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_11998]) ).
tcf(c_12534,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_11213,c_11998]) ).
tcf(c_12535,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_83,c_11998]) ).
tcf(c_12536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtpldt0(X2,X3))
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_81,c_11998]) ).
tcf(c_12537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X2,X3)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(X0,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X3)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(X1,X3)
| ~ sdtlseqdt0(X0,X2)
| ~ aScalar0(sdtasdt0(X2,X3))
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_82,c_11998]) ).
tcf(c_12538,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_11998]) ).
tcf(c_12539,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_85,c_11998]) ).
tcf(c_12540,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_86,c_11998]) ).
tcf(c_12541,plain,
! [X0: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(superposition,[status(thm)],[c_99,c_11998]) ).
tcf(c_12544,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))) ),
inference(superposition,[status(thm)],[c_135,c_11998]) ).
tcf(c_12545,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_3016,c_11998]) ).
tcf(c_12546,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2931,c_11998]) ).
tcf(c_12547,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2930,c_11998]) ).
tcf(c_12548,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2927,c_11998]) ).
tcf(c_12549,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2947,c_11998]) ).
tcf(c_12550,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2946,c_11998]) ).
tcf(c_12551,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2945,c_11998]) ).
tcf(c_12552,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_2944,c_11998]) ).
tcf(c_12554,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4024,c_11998]) ).
tcf(c_12555,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4016,c_11998]) ).
tcf(c_12556,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_4025,c_11998]) ).
tcf(c_12558,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_11628,c_11998]) ).
tcf(c_12559,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_9958,c_11998]) ).
tcf(c_12560,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_7734,c_11998]) ).
tcf(c_12563,plain,
( sdtlseqdt0(iPr_def_17,sdtasdt0(xC,xD))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10636,c_11998]) ).
tcf(c_12564,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(xC,xD)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtasdt0(xE,xE))
| ~ aScalar0(sdtasdt0(xC,xD))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtasdt0(xE,xE))) ),
inference(superposition,[status(thm)],[c_10298,c_11998]) ).
tcf(c_12565,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(xR,xS))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10774,c_11998]) ).
tcf(c_12566,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(xR,xS)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(xP,xP))) ),
inference(superposition,[status(thm)],[c_10412,c_11998]) ).
tcf(c_12567,plain,
! [X0: $i] :
( sdtlseqdt0(X0,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_11498,c_11998]) ).
tcf(c_12570,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_11213,c_11998]) ).
tcf(c_12571,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_10471,c_11998]) ).
tcf(c_12573,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_10538,c_11998]) ).
tcf(c_12574,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))) ),
inference(superposition,[status(thm)],[c_10832,c_11998]) ).
tcf(c_12578,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xN)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12556,c_12145]) ).
tcf(c_12579,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xN))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12578,c_131,c_56]) ).
tcf(c_12583,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12555,c_12145]) ).
tcf(c_12584,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xS))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12583,c_129,c_56]) ).
tcf(c_12588,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12554,c_12145]) ).
tcf(c_12589,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xR))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12588,c_125,c_56]) ).
tcf(c_12593,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| ~ aScalar0(iPr_def_16)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12552,c_12145]) ).
tcf(c_12594,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_16))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12593,c_10032,c_56]) ).
tcf(c_12598,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| ~ aScalar0(iPr_def_15)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12551,c_12145]) ).
tcf(c_12599,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_15))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12598,c_10033,c_56]) ).
tcf(c_12603,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12550,c_12145]) ).
tcf(c_12604,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12603,c_115,c_56]) ).
tcf(c_12608,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12549,c_12145]) ).
tcf(c_12609,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12608,c_113,c_56]) ).
tcf(c_12613,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12548,c_12145]) ).
tcf(c_12614,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12613,c_56]) ).
tcf(c_12619,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12547,c_12145]) ).
tcf(c_12620,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12619,c_121,c_56]) ).
tcf(c_12624,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xF)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_12546,c_12145]) ).
tcf(c_12625,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xF))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12624,c_119,c_56]) ).
tcf(c_12635,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12560,c_123,c_56]) ).
tcf(c_12641,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12559,c_111,c_56]) ).
tcf(c_12647,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_12541,c_12145]) ).
tcf(c_12648,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aVector0(X0)
| ~ aScalar0(sdtasasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12647,c_56]) ).
tcf(c_12654,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(light_normalisation,[status(thm)],[c_12540,c_12145]) ).
tcf(c_12655,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtasdt0(X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12654,c_56]) ).
tcf(c_12691,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_12539,c_12145]) ).
tcf(c_12692,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtasdt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12691,c_56]) ).
tcf(c_12701,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_12538,c_12145]) ).
tcf(c_12702,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(X0,X1)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(sdtpldt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12701,c_56]) ).
tcf(c_12944,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7544,c_3135,c_7544,c_10033,c_10032]) ).
tcf(c_12945,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(renaming,[status(thm)],[c_12944]) ).
tcf(c_12954,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12945,c_57]) ).
tcf(c_12976,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12145,c_12954]) ).
tcf(c_12977,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12954,c_11998]) ).
tcf(c_12978,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12954,c_80]) ).
tcf(c_12979,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(superposition,[status(thm)],[c_12954,c_79]) ).
tcf(c_12980,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14) ),
inference(superposition,[status(thm)],[c_12954,c_1829]) ).
tcf(c_12981,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(superposition,[status(thm)],[c_12954,c_12011]) ).
tcf(c_12982,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(superposition,[status(thm)],[c_12954,c_4026]) ).
tcf(c_12983,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12954,c_5438]) ).
tcf(c_12984,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(superposition,[status(thm)],[c_12954,c_4020]) ).
tcf(c_12985,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12954,c_4798]) ).
tcf(c_12986,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12954,c_11998]) ).
tcf(c_12987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X0),X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X2)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12954,c_80]) ).
tcf(c_12988,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X1)))
| ( sdtpldt0(iPr_def_17,X0) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_12954,c_79]) ).
tcf(c_12989,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(superposition,[status(thm)],[c_12954,c_11998]) ).
tcf(c_12990,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(superposition,[status(thm)],[c_12954,c_80]) ).
tcf(c_12991,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12954,c_79]) ).
tcf(c_12994,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_14),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14)) ),
inference(equality_factoring,[status(thm)],[c_12954]) ).
tcf(c_12995,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_12954]) ).
tcf(c_12996,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12980,c_11987]) ).
tcf(c_13011,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12976,c_56]) ).
tcf(c_13018,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xH),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12985,c_123,c_56]) ).
tcf(c_13025,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xB),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12983,c_111,c_56]) ).
tcf(c_13032,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xE),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12984,c_117,c_56]) ).
tcf(c_13039,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,xA),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sz0z00)))
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12982,c_109,c_56]) ).
tcf(c_13046,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12995,c_11987]) ).
tcf(c_13077,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12989,c_11987]) ).
tcf(c_13114,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X2),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12990,c_11987]) ).
tcf(c_13125,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12991,c_11987]) ).
tcf(c_13198,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_12996,c_11998]) ).
tcf(c_13199,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0) ),
inference(superposition,[status(thm)],[c_12996,c_80]) ).
tcf(c_13200,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_17) ),
inference(superposition,[status(thm)],[c_12996,c_79]) ).
tcf(c_13201,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13198,c_11987]) ).
tcf(c_13206,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13199,c_11987]) ).
tcf(c_13213,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,iPr_def_14)),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13200,c_11987]) ).
tcf(c_13220,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(iPr_def_14) ),
inference(global_subsumption_just,[status(thm)],[c_7549,c_3135,c_7549,c_10033,c_10032]) ).
tcf(c_13221,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(renaming,[status(thm)],[c_13220]) ).
tcf(c_13238,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_12145,c_13221]) ).
tcf(c_13239,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| sdtlseqdt0(sdtpldt0(iPr_def_17,X1),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13221,c_11998]) ).
tcf(c_13240,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13221,c_80]) ).
tcf(c_13241,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),iPr_def_14)
| ( X0 = X1 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_13221,c_79]) ).
tcf(c_13244,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xA)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(superposition,[status(thm)],[c_13221,c_4026]) ).
tcf(c_13245,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xB)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(superposition,[status(thm)],[c_13221,c_5438]) ).
tcf(c_13246,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xE)
| ~ aScalar0(sz0z00)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(superposition,[status(thm)],[c_13221,c_4020]) ).
tcf(c_13247,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xH)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(superposition,[status(thm)],[c_13221,c_4798]) ).
tcf(c_13248,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_13221,c_11998]) ).
tcf(c_13249,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X2)),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X2))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(superposition,[status(thm)],[c_13221,c_80]) ).
tcf(c_13250,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(superposition,[status(thm)],[c_13221,c_79]) ).
tcf(c_13251,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13221,c_11998]) ).
tcf(c_13252,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(X2,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X2))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)),X1)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(iPr_def_14,X1)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13221,c_80]) ).
tcf(c_13253,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X1))
| ( sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)) = iPr_def_14 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X0))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0)))
| ~ sdtlseqdt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X0))) ),
inference(superposition,[status(thm)],[c_13221,c_79]) ).
tcf(c_13256,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(equality_factoring,[status(thm)],[c_13221]) ).
tcf(c_13257,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14)),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,iPr_def_14))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,iPr_def_14))) ),
inference(equality_factoring,[status(thm)],[c_13221]) ).
tcf(c_13258,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0) ),
inference(light_normalisation,[status(thm)],[c_13238,c_12145]) ).
tcf(c_13259,plain,
! [X0: $i] :
( sdtlseqdt0(X0,sz0z00)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13258,c_11987,c_56]) ).
tcf(c_13272,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_14,iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_17))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13256,c_11987]) ).
tcf(c_13279,plain,
( sdtlseqdt0(xE,sz0z00)
| sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xH)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xH)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13247,c_123,c_56]) ).
tcf(c_13287,plain,
( sdtlseqdt0(xA,sz0z00)
| sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xB)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sdtpldt0(iPr_def_17,xB)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13245,c_111,c_56]) ).
tcf(c_13295,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xE)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xH)
| ~ aScalar0(sdtpldt0(iPr_def_17,xE)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13246,c_117,c_56]) ).
tcf(c_13303,plain,
( sdtlseqdt0(sz0z00,xH)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sz0z00))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,xA)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ sdtlseqdt0(sz0z00,xB)
| ~ aScalar0(sdtpldt0(iPr_def_17,xA)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13244,c_109,c_56]) ).
tcf(c_13359,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ( sdtpldt0(iPr_def_14,X0) = iPr_def_17 )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13250,c_11987]) ).
tcf(c_13370,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdtlseqdt0(iPr_def_17,X1)
| sdtlseqdt0(X0,X2)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X2)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X2))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0))
| ~ sdtlseqdt0(sdtpldt0(iPr_def_14,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13249,c_11987]) ).
tcf(c_13382,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,X1)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(iPr_def_17,X1))
| ~ aScalar0(sdtpldt0(iPr_def_14,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13248,c_11987]) ).
tcf(c_13421,plain,
( aNaturalNumber0(aDimensionOf0(xp))
| ( aDimensionOf0(xp) = sz00 )
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xp))) ),
inference(superposition,[status(thm)],[c_3719,c_50]) ).
tcf(c_13422,plain,
! [X0: $i] :
( ( aDimensionOf0(xp) = sz00 )
| ( aDimensionOf0(sziznziztdt0(xp)) = X0 )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(aDimensionOf0(sziznziztdt0(xp)))
| ( szszuzczcdt0(X0) != aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_3719,c_54]) ).
tcf(c_13423,plain,
! [X0: $i] :
( aNaturalNumber0(sK1(X0,sziznziztdt0(xp)))
| ( aDimensionOf0(xp) = sz00 )
| ( sziznziztdt0(X0) = sziznziztdt0(xp) )
| ( aDimensionOf0(X0) = sz00 )
| ~ aVector0(X0)
| ~ aVector0(sziznziztdt0(xp))
| ( aDimensionOf0(X0) != aDimensionOf0(xp) ) ),
inference(superposition,[status(thm)],[c_3719,c_91]) ).
tcf(c_13443,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_17),X0) ),
inference(superposition,[status(thm)],[c_12139,c_81]) ).
tcf(c_13444,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_12139,c_81]) ).
tcf(c_13445,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X0,X1),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13444,c_11987]) ).
tcf(c_13452,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13443,c_11987]) ).
tcf(c_13483,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_17),X0) ),
inference(superposition,[status(thm)],[c_12140,c_81]) ).
tcf(c_13484,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_12140,c_81]) ).
tcf(c_13485,plain,
! [X0: $i] :
( sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,smndt0(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_12140,c_13221]) ).
tcf(c_13486,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,smndt0(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_12140,c_11213]) ).
tcf(c_13487,plain,
( sdtlseqdt0(iPr_def_17,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,smndt0(iPr_def_17)))) ),
inference(superposition,[status(thm)],[c_12140,c_10832]) ).
tcf(c_13488,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,smndt0(iPr_def_17)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_12140,c_10590]) ).
tcf(c_13489,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,smndt0(iPr_def_17)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ aScalar0(sdtpldt0(iPr_def_17,smndt0(iPr_def_17))) ),
inference(superposition,[status(thm)],[c_12140,c_10471]) ).
tcf(c_13490,plain,
! [X0: $i] :
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,X0)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_12140,c_12954]) ).
tcf(c_13495,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sdtpldt0(X1,X0),sz0z00)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(X1,iPr_def_17)
| ~ sdtlseqdt0(X0,smndt0(iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13484,c_11987]) ).
tcf(c_13502,plain,
! [X0: $i,X1: $i] :
( sdtlseqdt0(sz0z00,sdtpldt0(X1,X0))
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17))
| ~ sdtlseqdt0(iPr_def_17,X1)
| ~ sdtlseqdt0(smndt0(iPr_def_17),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13483,c_11987]) ).
tcf(c_13516,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,smndt0(iPr_def_17)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(light_normalisation,[status(thm)],[c_13489,c_12140,c_12145]) ).
tcf(c_13517,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,smndt0(iPr_def_17)))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13516,c_56]) ).
tcf(c_13523,plain,
( sdtlseqdt0(iPr_def_17,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(light_normalisation,[status(thm)],[c_13487,c_12140,c_12145]) ).
tcf(c_13525,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(light_normalisation,[status(thm)],[c_13486,c_12140,c_12145]) ).
tcf(c_13526,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(iPr_def_17,X0)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13525,c_56]) ).
tcf(c_13534,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(light_normalisation,[status(thm)],[c_13485,c_12140,c_12145]) ).
tcf(c_13535,plain,
! [X0: $i] :
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(X0,smndt0(iPr_def_17))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,X0))
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(X0)
| ~ aScalar0(smndt0(iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13534,c_56]) ).
tcf(c_13547,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xD)))
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12954,c_3833]) ).
tcf(c_13548,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xD)))
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11628,c_3833]) ).
tcf(c_13550,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_13221,c_3833]) ).
tcf(c_13551,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_11213,c_3833]) ).
tcf(c_13553,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xD)))
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13548,c_115,c_56]) ).
tcf(c_13559,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xD)))
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13547,c_12145]) ).
tcf(c_13560,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xD)))
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13559,c_115,c_56]) ).
tcf(c_13566,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13551,c_12145]) ).
tcf(c_13567,plain,
( sdtlseqdt0(iPr_def_17,xD)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13566,c_11987,c_115,c_56]) ).
tcf(c_13573,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xD)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13550,c_12145]) ).
tcf(c_13574,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xD))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xD )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13573,c_11987,c_115,c_56]) ).
tcf(c_13607,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xC)))
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12954,c_3836]) ).
tcf(c_13608,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xC)))
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11628,c_3836]) ).
tcf(c_13610,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_13221,c_3836]) ).
tcf(c_13611,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_11213,c_3836]) ).
tcf(c_13613,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xC)))
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13608,c_113,c_56]) ).
tcf(c_13619,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xC)))
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13607,c_12145]) ).
tcf(c_13620,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xC)))
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13619,c_113,c_56]) ).
tcf(c_13626,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13611,c_12145]) ).
tcf(c_13627,plain,
( sdtlseqdt0(iPr_def_17,xC)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13626,c_11987,c_113,c_56]) ).
tcf(c_13633,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xC)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13610,c_12145]) ).
tcf(c_13634,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xC))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xC )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13633,c_11987,c_113,c_56]) ).
tcf(c_13644,plain,
( sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,sz0z00),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xG)))
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_12954,c_3839]) ).
tcf(c_13645,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xG)))
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(superposition,[status(thm)],[c_11628,c_3839]) ).
tcf(c_13647,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_13221,c_3839]) ).
tcf(c_13648,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,sdtpldt0(iPr_def_17,sz0z00)),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00)
| ~ aScalar0(sdtpldt0(iPr_def_17,sz0z00)) ),
inference(superposition,[status(thm)],[c_11213,c_3839]) ).
tcf(c_13650,plain,
( sdtlseqdt0(sz0z00,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xG)))
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13645,c_121,c_56]) ).
tcf(c_13656,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xG)))
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13644,c_12145]) ).
tcf(c_13657,plain,
( sdtlseqdt0(iPr_def_17,iPr_def_14)
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,sdtpldt0(iPr_def_14,xG)))
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13656,c_121,c_56]) ).
tcf(c_13663,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13648,c_12145]) ).
tcf(c_13664,plain,
( sdtlseqdt0(iPr_def_17,xG)
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13663,c_11987,c_121,c_56]) ).
tcf(c_13670,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_17)
| ~ aScalar0(iPr_def_14)
| ~ aScalar0(xG)
| ~ aScalar0(sz0z00) ),
inference(light_normalisation,[status(thm)],[c_13647,c_12145]) ).
tcf(c_13671,plain,
( sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,iPr_def_14))
| sdtlseqdt0(iPr_def_17,sdtpldt0(iPr_def_14,xG))
| sdtlseqdt0(sdtpldt0(iPr_def_17,iPr_def_17),iPr_def_14)
| ( sz0z00 = xG )
| ~ aScalar0(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13670,c_11987,c_121,c_56]) ).
tcf(c_13698,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_13671,c_13670,c_13664,c_13663,c_13657,c_13656,c_13650,c_13648,c_13647,c_13645,c_13644,c_13634,c_13633,c_13627,c_13626,c_13620,c_13619,c_13613,c_13611,c_13610,c_13608,c_13607,c_13574,c_13573,c_13567,c_13566,c_13560,c_13559,c_13553,c_13551,c_13550,c_13548,c_13547,c_13535,c_13534,c_13526,c_13525,c_13523,c_13517,c_13516,c_13502,c_13495,c_13490,c_13489,c_13488,c_13487,c_13486,c_13485,c_13484,c_13483,c_13452,c_13445,c_13444,c_13443,c_13423,c_13421,c_13422,c_13382,c_13370,c_13359,c_13303,c_13295,c_13287,c_13279,c_13272,c_13259,c_13258,c_13257,c_13256,c_13253,c_13252,c_13251,c_13250,c_13249,c_13248,c_13247,c_13246,c_13245,c_13244,c_13241,c_13240,c_13239,c_13238,c_13221,c_13213,c_13206,c_13201,c_13200,c_13199,c_13198,c_13125,c_13114,c_13077,c_13046,c_13039,c_13032,c_13025,c_13018,c_13011,c_12996,c_12995,c_12994,c_12991,c_12990,c_12989,c_12988,c_12987,c_12986,c_12985,c_12984,c_12983,c_12982,c_12981,c_12980,c_12979,c_12978,c_12977,c_12976,c_12954,c_12945,c_12702,c_12701,c_12692,c_12691,c_12655,c_12654,c_12648,c_12647,c_12641,c_12635,c_12625,c_12624,c_12620,c_12619,c_12614,c_12613,c_12609,c_12608,c_12604,c_12603,c_12599,c_12598,c_12594,c_12593,c_12589,c_12588,c_12584,c_12583,c_12579,c_12578,c_12574,c_12573,c_12571,c_12570,c_12567,c_12566,c_12565,c_12564,c_12563,c_12560,c_12559,c_12558,c_12556,c_12555,c_12554,c_12552,c_12551,c_12550,c_12549,c_12548,c_12547,c_12546,c_12544,c_12541,c_12540,c_12539,c_12538,c_12537,c_12536,c_12535,c_12534,c_12532,c_12508,c_12426,c_12421,c_12420,c_12414,c_12408,c_12404,c_12403,c_12402,c_12401,c_12399,c_12398,c_12388,c_12382,c_12381,c_12380,c_12372,c_12365,c_12364,c_12363,c_12353,c_12346,c_12345,c_12344,c_12145,c_12144,c_12143,c_12142,c_12141,c_12140,c_12139,c_12138,c_12137,c_12136,c_12135,c_12134,c_12133,c_12132,c_12131,c_12011,c_12010,c_12009,c_12008,c_12007,c_12006,c_12005,c_12004,c_12003,c_12002,c_12001,c_12000,c_11999,c_11998,c_11997,c_11996,c_11995,c_11994,c_11993,c_11990,c_11989,c_11987,c_11980,c_11973,c_11972,c_11971,c_11960,c_11953,c_11952,c_11951,c_11932,c_11926,c_11921,c_11920,c_11919,c_11917,c_11717,c_11710,c_11703,c_11696,c_11678,c_11676,c_11675,c_11674,c_11672,c_11671,c_11670,c_11669,c_11668,c_11667,c_11666,c_11665,c_11664,c_11663,c_11662,c_11661,c_11660,c_11658,c_11657,c_11659,c_11654,c_11653,c_11652,c_11651,c_11650,c_11628,c_11619,c_11517,c_11514,c_11513,c_11512,c_11498,c_11301,c_11293,c_11285,c_11277,c_11257,c_11255,c_11254,c_11253,c_11251,c_11250,c_11249,c_11248,c_11247,c_11246,c_11245,c_11244,c_11241,c_11240,c_11239,c_11238,c_11237,c_11236,c_11234,c_11233,c_11231,c_11230,c_11213,c_11185,c_11184,c_11183,c_11174,c_11151,c_11150,c_11149,c_11138,c_11088,c_11087,c_11085,c_11084,c_11070,c_11062,c_11055,c_11054,c_11053,c_11042,c_11035,c_11034,c_11033,c_11025,c_11019,c_11018,c_11017,c_11001,c_10995,c_10994,c_10993,c_10985,c_10978,c_10977,c_10976,c_10967,c_10960,c_10959,c_10958,c_10941,c_10935,c_10934,c_10933,c_10920,c_10914,c_10909,c_10908,c_10907,c_10905,c_10850,c_10849,c_10847,c_10846,c_10832,c_10791,c_10790,c_10788,c_10787,c_10774,c_11486,c_10653,c_10652,c_10650,c_10649,c_10636,c_10604,c_10603,c_10602,c_12545,c_10590,c_10553,c_10552,c_10550,c_10549,c_10538,c_10489,c_10488,c_10486,c_10485,c_10471,c_10427,c_10426,c_10424,c_10423,c_10412,c_10313,c_10312,c_10310,c_10309,c_10298,c_10283,c_10277,c_10276,c_10275,c_10267,c_10260,c_10259,c_10258,c_10249,c_10242,c_10241,c_10240,c_10194,c_10193,c_10192,c_10191,c_10190,c_10189,c_10188,c_10187,c_10186,c_10185,c_10184,c_10183,c_10182,c_10181,c_10180,c_10107,c_10106,c_10105,c_10104,c_10103,c_10102,c_10101,c_10100,c_10099,c_10098,c_10097,c_10096,c_10095,c_10094,c_10093,c_10033,c_10032,c_10031,c_10030,c_10029,c_10028,c_10027,c_10026,c_10025,c_10024,c_10023,c_10022,c_10021,c_10020,c_10019,c_10018,c_10017,c_10016,c_10015,c_10001,c_9996,c_9995,c_9984,c_9976,c_9969,c_9962,c_9958,c_9956,c_9955,c_9954,c_9953,c_9957,c_9878,c_9877,c_9875,c_9874,c_9855,c_9809,c_9808,c_9806,c_9805,c_9786,c_9764,c_9766,c_9707,c_9706,c_9704,c_9703,c_9382,c_9374,c_9348,c_9328,c_9327,c_9326,c_9320,c_9319,c_9318,c_9317,c_9316,c_9315,c_9314,c_9312,c_9311,c_9310,c_9309,c_9308,c_9303,c_9302,c_9301,c_9300,c_9299,c_9297,c_9296,c_9295,c_9293,c_9079,c_9071,c_9054,c_9038,c_9035,c_9034,c_9032,c_9031,c_9030,c_9029,c_9028,c_9027,c_9023,c_9022,c_9021,c_9020,c_9019,c_9017,c_9016,c_9014,c_9013,c_8901,c_8900,c_8898,c_8897,c_8896,c_8895,c_8893,c_8892,c_8869,c_8862,c_8861,c_8860,c_8851,c_8844,c_8843,c_8842,c_8833,c_8826,c_8825,c_8824,c_8815,c_8808,c_8807,c_8806,c_8779,c_8778,c_8774,c_8773,c_8769,c_8768,c_8767,c_8751,c_8608,c_8607,c_8606,c_8605,c_8604,c_8603,c_8602,c_8601,c_8600,c_8599,c_8598,c_8597,c_8596,c_8595,c_8594,c_8593,c_8592,c_8284,c_8278,c_8271,c_8265,c_8259,c_8251,c_8245,c_8239,c_8233,c_8227,c_8221,c_8215,c_8209,c_8203,c_8197,c_8191,c_8185,c_8179,c_8172,c_8165,c_8159,c_8153,c_8146,c_8140,c_8134,c_8127,c_8121,c_8114,c_8108,c_8102,c_8095,c_8088,c_8081,c_8074,c_8067,c_8052,c_8045,c_8038,c_8031,c_8024,c_8017,c_8010,c_8003,c_7996,c_7989,c_7982,c_7975,c_7968,c_7961,c_7954,c_7947,c_7940,c_7933,c_7926,c_7919,c_7912,c_7905,c_7898,c_7891,c_7884,c_7877,c_7862,c_7855,c_7848,c_7840,c_7839,c_7838,c_7837,c_7836,c_7835,c_7834,c_7833,c_7832,c_7831,c_7830,c_7829,c_7828,c_7827,c_7826,c_7825,c_7824,c_7823,c_7822,c_7821,c_7820,c_7819,c_7818,c_7817,c_7816,c_7815,c_7814,c_7813,c_7812,c_7811,c_7810,c_7809,c_7808,c_7807,c_7806,c_7805,c_7804,c_7803,c_7802,c_7801,c_7800,c_7799,c_7798,c_7797,c_7796,c_7795,c_7794,c_7793,c_7792,c_7791,c_7790,c_7789,c_7788,c_7787,c_7786,c_7785,c_7784,c_7783,c_7782,c_7781,c_7780,c_7779,c_7778,c_7777,c_7776,c_7775,c_7774,c_7773,c_7772,c_7771,c_7770,c_7769,c_7768,c_7745,c_7738,c_7734,c_7732,c_7731,c_7733,c_7590,c_7583,c_7557,c_7556,c_7553,c_7552,c_7550,c_7549,c_7548,c_7547,c_7545,c_7544,c_7543,c_7542,c_7541,c_7537,c_7536,c_7535,c_7534,c_7533,c_7459,c_7458,c_7456,c_7455,c_7359,c_7358,c_7356,c_7355,c_7354,c_7353,c_7351,c_7350,c_7299,c_7298,c_7296,c_7295,c_7246,c_7245,c_7243,c_7242,c_7202,c_7201,c_7199,c_7198,c_7093,c_7083,c_7050,c_7043,c_7000,c_6995,c_6989,c_6983,c_6977,c_6971,c_6966,c_6961,c_6955,c_6949,c_6938,c_6933,c_6928,c_6912,c_6907,c_6906,c_6905,c_6904,c_6903,c_6902,c_6901,c_6900,c_6899,c_6898,c_6897,c_6896,c_6895,c_6894,c_6893,c_6892,c_6891,c_6890,c_6889,c_6888,c_6887,c_6886,c_6885,c_6884,c_6883,c_6882,c_6881,c_6880,c_6879,c_6878,c_6877,c_6876,c_6875,c_6874,c_6763,c_6750,c_6702,c_6692,c_6631,c_6623,c_6614,c_6605,c_6596,c_6587,c_6579,c_6571,c_6562,c_6553,c_6536,c_6528,c_6520,c_6495,c_6487,c_6486,c_6485,c_6484,c_6483,c_6482,c_6481,c_6480,c_6479,c_6478,c_6477,c_6476,c_6475,c_6474,c_6473,c_6472,c_6471,c_6470,c_6469,c_6468,c_6467,c_6466,c_6465,c_6464,c_6463,c_6462,c_6461,c_6460,c_6459,c_6458,c_6457,c_6456,c_6455,c_6454,c_6432,c_6417,c_6410,c_6409,c_6408,c_6399,c_6392,c_6391,c_6390,c_6381,c_6374,c_6373,c_6372,c_6363,c_6356,c_6355,c_6354,c_6339,c_6333,c_6332,c_6331,c_6310,c_6304,c_6299,c_6291,c_6290,c_6289,c_6288,c_6086,c_6079,c_6072,c_6065,c_6058,c_6051,c_6044,c_6037,c_6030,c_6023,c_6016,c_6009,c_6002,c_5995,c_5988,c_5981,c_5974,c_5967,c_5960,c_5953,c_5946,c_5939,c_5932,c_5925,c_5918,c_5911,c_5904,c_5897,c_5890,c_5883,c_5876,c_5869,c_5863,c_5857,c_5851,c_5845,c_5839,c_5833,c_5827,c_5821,c_5815,c_5809,c_5803,c_5797,c_5791,c_5785,c_5779,c_5773,c_5767,c_5761,c_5755,c_5749,c_5743,c_5737,c_5731,c_5725,c_5719,c_5713,c_5707,c_5701,c_5695,c_5689,c_5683,c_5677,c_5671,c_5665,c_5659,c_5653,c_5647,c_5641,c_5635,c_5629,c_5623,c_5617,c_5611,c_5605,c_5599,c_5593,c_5587,c_5581,c_5574,c_5573,c_5572,c_5571,c_5570,c_5569,c_5568,c_5567,c_5566,c_5565,c_5564,c_5563,c_5562,c_5561,c_5560,c_5559,c_5558,c_5557,c_5556,c_5555,c_5554,c_5553,c_5552,c_5551,c_5550,c_5549,c_5548,c_5547,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5537,c_5536,c_5535,c_5534,c_5533,c_5532,c_5531,c_5530,c_5529,c_5528,c_5527,c_5526,c_5525,c_5524,c_5523,c_5522,c_5521,c_5520,c_5519,c_5518,c_5517,c_5516,c_5515,c_5514,c_5513,c_5512,c_5511,c_5510,c_5509,c_5508,c_5507,c_5506,c_5505,c_5504,c_5503,c_5502,c_5501,c_5500,c_5499,c_5498,c_5497,c_5496,c_5495,c_5494,c_5493,c_5492,c_5491,c_5490,c_5489,c_5472,c_5468,c_5467,c_5465,c_5464,c_5442,c_5438,c_5436,c_5437,c_5422,c_5416,c_5415,c_5414,c_5398,c_5392,c_5391,c_5390,c_5369,c_5363,c_5361,c_5335,c_5334,c_5304,c_5303,c_5273,c_5272,c_5233,c_5232,c_5228,c_5227,c_5226,c_5117,c_5116,c_5115,c_5114,c_5113,c_5112,c_5111,c_5110,c_5109,c_5108,c_5107,c_5106,c_5105,c_5104,c_5103,c_5102,c_5101,c_4976,c_4975,c_4974,c_4973,c_4972,c_4971,c_4970,c_4969,c_4968,c_4967,c_4966,c_4965,c_4964,c_4963,c_4962,c_4961,c_4960,c_4835,c_4834,c_4833,c_4832,c_4831,c_4830,c_4829,c_4828,c_4827,c_4826,c_4825,c_4824,c_4823,c_4822,c_4821,c_4820,c_4819,c_4802,c_4798,c_4796,c_4797,c_4708,c_4698,c_4697,c_4696,c_4693,c_4692,c_4689,c_4688,c_4618,c_4608,c_4589,c_4582,c_4563,c_4558,c_4552,c_4547,c_4542,c_4536,c_4530,c_4525,c_4520,c_4515,c_4510,c_4508,c_4507,c_4506,c_4503,c_4502,c_4501,c_4500,c_4499,c_4498,c_4497,c_4495,c_4494,c_4493,c_4492,c_4491,c_4490,c_4489,c_4488,c_4487,c_4461,c_5362,c_4417,c_4416,c_4415,c_4414,c_4496,c_4396,c_4364,c_4361,c_4360,c_4359,c_4355,c_4352,c_4351,c_4350,c_4346,c_4343,c_4342,c_4341,c_4260,c_4259,c_4258,c_4257,c_4256,c_4255,c_4254,c_4253,c_4252,c_4251,c_4250,c_4249,c_4248,c_4247,c_4246,c_4245,c_4244,c_4191,c_4190,c_4189,c_4188,c_4187,c_4145,c_4136,c_4120,c_4114,c_4102,c_4098,c_4094,c_4090,c_4086,c_4081,c_4076,c_4070,c_4069,c_4068,c_4067,c_4066,c_4065,c_4064,c_4063,c_4061,c_4060,c_4059,c_4058,c_4057,c_4056,c_4055,c_4053,c_4030,c_4026,c_4025,c_4024,c_4020,c_4016,c_4008,c_4007,c_3982,c_3979,c_3978,c_3977,c_3976,c_3975,c_3957,c_3923,c_3922,c_3855,c_3850,c_3845,c_3842,c_3839,c_3836,c_3833,c_3829,c_3825,c_3823,c_3822,c_3821,c_3820,c_3819,c_3818,c_3817,c_3815,c_3814,c_3813,c_3812,c_3811,c_3781,c_3777,c_3774,c_3773,c_3772,c_3756,c_3728,c_3727,c_3726,c_3725,c_3720,c_3719,c_3718,c_3717,c_3716,c_3649,c_3624,c_3623,c_3622,c_3621,c_3620,c_3619,c_3618,c_3617,c_3616,c_3615,c_3614,c_3613,c_3612,c_3611,c_3610,c_3609,c_3608,c_3544,c_3519,c_3518,c_3517,c_3516,c_3515,c_3514,c_3513,c_3512,c_3511,c_3510,c_3509,c_3508,c_3507,c_3506,c_3505,c_3504,c_3503,c_3427,c_3426,c_3425,c_3424,c_3423,c_3422,c_3421,c_3420,c_3419,c_3418,c_3417,c_3416,c_3415,c_3414,c_3413,c_3412,c_3411,c_3373,c_3372,c_3371,c_3370,c_3369,c_3355,c_3288,c_3287,c_3286,c_3285,c_3284,c_3283,c_3282,c_3239,c_3238,c_3237,c_3236,c_3235,c_3234,c_3233,c_3232,c_3231,c_3230,c_3229,c_3228,c_3227,c_3226,c_3225,c_3224,c_4705,c_3188,c_3187,c_3186,c_3185,c_3184,c_3183,c_3182,c_3181,c_3180,c_3179,c_3178,c_3177,c_3176,c_3175,c_3174,c_3173,c_3141,c_3140,c_3139,c_3138,c_3137,c_3135,c_3134,c_3088,c_3087,c_3086,c_3085,c_3084,c_3055,c_3054,c_3053,c_3052,c_3051,c_3050,c_3049,c_3048,c_3047,c_3046,c_3045,c_3044,c_3043,c_3042,c_3034,c_3033,c_3032,c_3031,c_3030,c_3029,c_3028,c_3027,c_3026,c_3025,c_3024,c_3023,c_3022,c_3016,c_3011,c_3010,c_3009,c_3008,c_3007,c_3006,c_3005,c_3004,c_3003,c_3002,c_3001,c_3000,c_2999,c_2998,c_2990,c_2989,c_2988,c_2987,c_2986,c_2985,c_2984,c_2983,c_2982,c_2981,c_2980,c_2979,c_2978,c_2969,c_2968,c_2967,c_2966,c_2965,c_2964,c_2963,c_2962,c_2961,c_2960,c_2959,c_2958,c_2957,c_2956,c_2947,c_2946,c_2945,c_2944,c_2943,c_2942,c_2941,c_2940,c_2931,c_2930,c_2927,c_2926,c_2925,c_2918,c_2917,c_2900,c_2898,c_2919,c_1829,c_1828,c_1827,c_1826,c_1825,c_1824,c_1823,c_1822,c_1821,c_1820,c_1819,c_998,c_635,c_183,c_3015,c_135,c_134,c_133,c_132,c_131,c_130,c_129,c_128,c_127,c_126,c_125,c_124,c_123,c_122,c_121,c_120,c_119,c_118,c_117,c_116,c_115,c_114,c_113,c_111,c_110,c_109,c_108,c_107,c_106,c_105,c_104,c_103,c_101,c_100,c_99,c_98,c_97,c_96,c_95,c_94,c_93,c_92,c_91,c_90,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_68,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG080+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.59 % Computer : n004.cluster.edu
% 0.10/0.59 % Model : x86_64 x86_64
% 0.10/0.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.59 % Memory : 8046.5625MB
% 0.10/0.59 % OS : Linux 6.8.0-71-generic
% 0.10/0.59 % CPULimit : 300
% 0.10/0.59 % WCLimit : 300
% 0.10/0.59 % DateTime : Thu Sep 24 08:07:53 UTC 2026
% 0.10/0.59 % CPUTime :
% 0.10/0.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.63 Running first-order theorem proving
% 0.10/0.63 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.64
% 0.15/0.64 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.64
% 0.15/0.64 % Detected problem language: tptp
% 0.15/0.65 % Proving...
% 7.96/1.96 % SZS status Started for theBenchmark.p
% 7.96/1.96 % SZS status Theorem for theBenchmark.p
% 7.96/1.96
% 7.96/1.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.96/1.96
% 7.96/1.96 % ------ iProver source info
% 7.96/1.96
% 7.96/1.96 % git: date: 2026-07-19 20:42:38 +0200
% 7.96/1.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.96/1.96 % git: non_committed_changes: false
% 7.96/1.96
% 7.96/1.96 % ------ Parsing...
% 7.96/1.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.96/1.96
% 7.96/1.96 % ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 7.96/1.96
% 7.96/1.96 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.96/1.96
% 7.96/1.96 % ------ Preprocessing... sf_s rm: 4 0s sf_e sf_s rm: 0 0s sf_e
% 7.96/1.96 % ------ Proving...
% 7.96/1.96 % ------ Problem Properties
% 7.96/1.96
% 7.96/1.96 %
% 7.96/1.96 % clauses 95
% 7.96/1.96 % conjectures 1
% 7.96/1.96 % EPR 26
% 7.96/1.96 % Horn 83
% 7.96/1.96 % unary 44
% 7.96/1.96 % binary 17
% 7.96/1.96 % lits 227
% 7.96/1.96 % lits eq 72
% 7.96/1.96 % fd_pure 0
% 7.96/1.96 % fd_pseudo 0
% 7.96/1.96 % fd_cond 1
% 7.96/1.96 % fd_pseudo_cond 5
% 7.96/1.96 % AC symbols 0
% 7.96/1.96
% 7.96/1.96 % ------ Schedule dynamic 5 is on
% 7.96/1.96
% 7.96/1.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.96/1.96
% 7.96/1.96
% 7.96/1.96 % ------
% 7.96/1.96 % Current options:
% 7.96/1.96 % ------
% 7.96/1.96
% 7.96/1.96
% 7.96/1.96 %
% 7.96/1.96
% 7.96/1.96 % ------ Proving...
% 7.96/1.96 %
% 7.96/1.96
% 7.96/1.96 % SZS status Theorem for theBenchmark.p
% 7.96/1.96
% 7.96/1.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.96/2.00
% 7.96/2.00
%------------------------------------------------------------------------------